Atkin-Lehner |
2+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
6962g |
Isogeny class |
Conductor |
6962 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
47200 |
Modular degree for the optimal curve |
Δ |
4698574003338272 = 25 · 598 |
Discriminant |
Eigenvalues |
2+ -2 0 -1 0 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-149756,22048410] |
[a1,a2,a3,a4,a6] |
j |
2529625/32 |
j-invariant |
L |
0.14519298546583 |
L(r)(E,1)/r! |
Ω |
0.43557895639748 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55696u1 62658s1 6962n1 |
Quadratic twists by: -4 -3 -59 |