Atkin-Lehner |
2- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
55616bf |
Isogeny class |
Conductor |
55616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
1271738029639204864 = 240 · 114 · 79 |
Discriminant |
Eigenvalues |
2- 3 -3 -1 11- -1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1430284,656147984] |
[a1,a2,a3,a4,a6] |
j |
1234384987853171097/4851295584256 |
j-invariant |
L |
2.1878296296211 |
L(r)(E,1)/r! |
Ω |
0.27347870380137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55616d1 13904f1 |
Quadratic twists by: -4 8 |