Atkin-Lehner |
2+ 3+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
23226a |
Isogeny class |
Conductor |
23226 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
137592 |
Modular degree for the optimal curve |
Δ |
-11192384200704 = -1 · 213 · 3 · 78 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 6 -6 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-71908,7393744] |
[a1,a2,a3,a4,a6] |
j |
-7133135240329/1941504 |
j-invariant |
L |
0.70142807848385 |
L(r)(E,1)/r! |
Ω |
0.70142807848391 |
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 |
69678y1 23226n1 |
Quadratic twists by: -3 -7 |