Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
58080bh |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
25510478400 = 26 · 32 · 52 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-766,3016] |
[a1,a2,a3,a4,a6] |
Generators |
[31:90:1] |
Generators of the group modulo torsion |
j |
438976/225 |
j-invariant |
L |
4.9111073719012 |
L(r)(E,1)/r! |
Ω |
1.0515186470256 |
Real period |
R |
2.335245021937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58080bx1 116160is2 480a1 |
Quadratic twists by: -4 8 -11 |