Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120t |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.9998583654902E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1764723,-876297422] |
[a1,a2,a3,a4,a6] |
Generators |
[-4546947:-10271570:6859] |
Generators of the group modulo torsion |
j |
203547547380881521/6697485202500 |
j-invariant |
L |
5.0355077582619 |
L(r)(E,1)/r! |
Ω |
0.13125209762407 |
Real period |
R |
9.5912900620122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6390e2 17040z2 |
Quadratic twists by: -4 -3 |