Atkin-Lehner |
2+ 7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
57722h |
Isogeny class |
Conductor |
57722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
753984 |
Modular degree for the optimal curve |
Δ |
-317220138508982464 = -1 · 26 · 710 · 19 · 314 |
Discriminant |
Eigenvalues |
2+ 0 -1 7- -5 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-264560,-58904896] |
[a1,a2,a3,a4,a6] |
Generators |
[1432:49256:1] |
Generators of the group modulo torsion |
j |
-7249645675881/1123001536 |
j-invariant |
L |
2.4926602518749 |
L(r)(E,1)/r! |
Ω |
0.1043633507259 |
Real period |
R |
2.9855550758755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57722b1 |
Quadratic twists by: -7 |