Atkin-Lehner |
2+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
57112b |
Isogeny class |
Conductor |
57112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-2962676387624624 = -1 · 24 · 1112 · 59 |
Discriminant |
Eigenvalues |
2+ 3 3 -3 11- 0 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-898546,-327847927] |
[a1,a2,a3,a4,a6] |
j |
-2830535226611712/104522099 |
j-invariant |
L |
7.7532451789692 |
L(r)(E,1)/r! |
Ω |
0.077532451832353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114224f1 5192a1 |
Quadratic twists by: -4 -11 |