Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120x |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.4088642424885E+29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2061571724643,-1139320172886337438] |
[a1,a2,a3,a4,a6] |
Generators |
[9771876659710741149720505208483604993544869015157989259629418668777301651698824263403798918442874501453685196962390248368492231175077919053660950160097150157890729:-10169737385099013108349400670160645876175891081709640527572513252333964913436377511707994204578915248772750221869048134070937892980228774073893814976307831750031380702:4373931580421672417975530308578428389906331745293771197132403561142757587640188696285035660896656009723019485525768905841291401633259606048164289437867107751] |
Generators of the group modulo torsion |
j |
324512614167969952866880759071039841/47182578422675102760960 |
j-invariant |
L |
3.9540439270636 |
L(r)(E,1)/r! |
Ω |
0.0039842808351869 |
Real period |
R |
248.10273739641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6390g2 17040p2 |
Quadratic twists by: -4 -3 |