Atkin-Lehner |
2+ 3+ 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
58512c |
Isogeny class |
Conductor |
58512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
-175536 = -1 · 24 · 32 · 23 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 6 -1 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13,6] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
14047232/10971 |
j-invariant |
L |
4.2759631275574 |
L(r)(E,1)/r! |
Ω |
2.0622578317168 |
Real period |
R |
1.0367188480628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29256d1 |
Quadratic twists by: -4 |