Atkin-Lehner |
2- 3- 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
117150cb |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-49750474752000000 = -1 · 224 · 35 · 56 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,64712,-8655808] |
[a1,a2,a3,a4,a6] |
Generators |
[368:7880:1] |
Generators of the group modulo torsion |
j |
1918040326417223/3184030384128 |
j-invariant |
L |
14.350760465138 |
L(r)(E,1)/r! |
Ω |
0.18771084823694 |
Real period |
R |
1.2741902888021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4686a1 |
Quadratic twists by: 5 |