Atkin-Lehner |
2- 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760bf |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
518538240 = 210 · 33 · 5 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243,-962] |
[a1,a2,a3,a4,a6] |
j |
57395628/18755 |
j-invariant |
L |
2.4814222717531 |
L(r)(E,1)/r! |
Ω |
1.240711082845 |
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 |
122760g1 |
Quadratic twists by: -3 |