Atkin-Lehner |
2+ 3- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550s |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
760936800 = 25 · 3 · 52 · 13 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -2 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-281,-1252] |
[a1,a2,a3,a4,a6] |
j |
97651532785/30437472 |
j-invariant |
L |
1.195052975328 |
L(r)(E,1)/r! |
Ω |
1.1950529761756 |
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 |
56550br1 |
Quadratic twists by: 5 |