Atkin-Lehner |
2+ 3+ 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
36498g |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
3704048684612417988 = 22 · 324 · 73 · 112 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 11+ -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3897798,2958874560] |
[a1,a2,a3,a4,a6] |
j |
6549103764998030892573289/3704048684612417988 |
j-invariant |
L |
1.968018493574 |
L(r)(E,1)/r! |
Ω |
0.24600231169562 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109494cb1 |
Quadratic twists by: -3 |