Atkin-Lehner |
2- 3- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
54672bf |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
24837120 |
Modular degree for the optimal curve |
Δ |
6913116349584703488 = 216 · 314 · 173 · 672 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7832910328,-266831498592556] |
[a1,a2,a3,a4,a6] |
j |
12975772672929840830286398421625/1687772546285328 |
j-invariant |
L |
1.3480253251426 |
L(r)(E,1)/r! |
Ω |
0.016047920565355 |
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 |
6834b1 |
Quadratic twists by: -4 |