Atkin-Lehner |
2+ 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640bi |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-14499840 = -1 · 214 · 3 · 5 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 0 -1 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15,-177] |
[a1,a2,a3,a4,a6] |
j |
21296/885 |
j-invariant |
L |
4.2672436337588 |
L(r)(E,1)/r! |
Ω |
1.0668109083791 |
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 |
56640cc1 3540a1 |
Quadratic twists by: -4 8 |