Atkin-Lehner |
2+ 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57134n |
Isogeny class |
Conductor |
57134 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-706968713261888 = -1 · 26 · 76 · 116 · 53 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 11- -5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15460,-1484272] |
[a1,a2,a3,a4,a6] |
Generators |
[832:23300:1] |
Generators of the group modulo torsion |
j |
-3473824173625/6009134912 |
j-invariant |
L |
3.0892165068961 |
L(r)(E,1)/r! |
Ω |
0.20222062618047 |
Real period |
R |
0.63651941388404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000182 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1166c1 |
Quadratic twists by: -7 |