Atkin-Lehner |
2+ 3+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
14274c |
Isogeny class |
Conductor |
14274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-13298043912192 = -1 · 216 · 39 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 4 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3495,-157267] |
[a1,a2,a3,a4,a6] |
j |
239830305597/675610624 |
j-invariant |
L |
2.9083145858466 |
L(r)(E,1)/r! |
Ω |
0.36353932323082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114192bd1 14274o1 |
Quadratic twists by: -4 -3 |