Atkin-Lehner |
2- 3- 5+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710be |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
41216 |
Modular degree for the optimal curve |
Δ |
-23011246080 = -1 · 214 · 32 · 5 · 232 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-926,12996] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-74:1] |
Generators of the group modulo torsion |
j |
-87818493850849/23011246080 |
j-invariant |
L |
9.3795927909873 |
L(r)(E,1)/r! |
Ω |
1.1435214185347 |
Real period |
R |
0.58588400950134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122130w1 |
Quadratic twists by: -3 |