Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3612g |
Isogeny class |
Conductor |
3612 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
-16596665180928 = -1 · 28 · 32 · 72 · 435 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -1 -3 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5173,241031] |
[a1,a2,a3,a4,a6] |
j |
-59812937728000/64830723363 |
j-invariant |
L |
2.5243264025834 |
L(r)(E,1)/r! |
Ω |
0.63108160064585 |
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 |
14448n1 57792w1 10836g1 90300g1 |
Quadratic twists by: -4 8 -3 5 |