Atkin-Lehner |
2+ 3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
40590n |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
1446627600 = 24 · 36 · 52 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-990,12100] |
[a1,a2,a3,a4,a6] |
Generators |
[0:110:1] |
Generators of the group modulo torsion |
j |
147281603041/1984400 |
j-invariant |
L |
4.1059107653985 |
L(r)(E,1)/r! |
Ω |
1.5189506416199 |
Real period |
R |
0.6757808076342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4510h1 |
Quadratic twists by: -3 |