Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760bs |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
55573783628774400 = 210 · 314 · 52 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-178203,26640902] |
[a1,a2,a3,a4,a6] |
Generators |
[331:1980:1] |
Generators of the group modulo torsion |
j |
838380677032804/74446190775 |
j-invariant |
L |
5.9449904794385 |
L(r)(E,1)/r! |
Ω |
0.34435873741005 |
Real period |
R |
1.0789965837999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000099521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920k3 |
Quadratic twists by: -3 |