Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498c |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-223279775016816 = -1 · 24 · 3 · 72 · 377 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 6 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9611,-809235] |
[a1,a2,a3,a4,a6] |
Generators |
[7734:117011:27] |
Generators of the group modulo torsion |
j |
-38272753/87024 |
j-invariant |
L |
3.325174982483 |
L(r)(E,1)/r! |
Ω |
0.22541331570371 |
Real period |
R |
7.3757288298226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1554g1 |
Quadratic twists by: 37 |