Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400k |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
936780162500000000 = 28 · 511 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 2 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-258508,19682988] |
[a1,a2,a3,a4,a6] |
j |
477625344356176/234195040625 |
j-invariant |
L |
1.9836812029237 |
L(r)(E,1)/r! |
Ω |
0.24796015036517 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18200b1 7280g1 |
Quadratic twists by: -4 5 |