Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400gp |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
1834442032500000000 = 28 · 34 · 510 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3688333,2724415463] |
[a1,a2,a3,a4,a6] |
j |
2219597331865600/733776813 |
j-invariant |
L |
2.0698643551409 |
L(r)(E,1)/r! |
Ω |
0.25873304074602 |
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 |
23100i1 92400fr1 |
Quadratic twists by: -4 5 |