Atkin-Lehner |
2- 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61380f |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
20514061458000 = 24 · 36 · 53 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11628,-430623] |
[a1,a2,a3,a4,a6] |
j |
14907034976256/1758750125 |
j-invariant |
L |
2.7797661706542 |
L(r)(E,1)/r! |
Ω |
0.46329436098824 |
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 |
6820b1 |
Quadratic twists by: -3 |