Atkin-Lehner |
2+ 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
31160f |
Isogeny class |
Conductor |
31160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-77900000000 = -1 · 28 · 58 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 2 -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5545,161357] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-250:1] [-11:470:1] |
Generators of the group modulo torsion |
j |
-73665937079296/304296875 |
j-invariant |
L |
7.2241678414759 |
L(r)(E,1)/r! |
Ω |
1.0915811822716 |
Real period |
R |
0.20681489266453 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62320d1 |
Quadratic twists by: -4 |