Atkin-Lehner |
2+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
35392b |
Isogeny class |
Conductor |
35392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
28413263872 = 220 · 73 · 79 |
Discriminant |
Eigenvalues |
2+ 0 -4 7+ 0 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36172,2647920] |
[a1,a2,a3,a4,a6] |
j |
19966473067689/108388 |
j-invariant |
L |
1.0485809760631 |
L(r)(E,1)/r! |
Ω |
1.0485809760475 |
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 |
35392q1 1106b1 |
Quadratic twists by: -4 8 |