Atkin-Lehner |
2- 3- 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
51888q |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-240267986731008 = -1 · 230 · 32 · 232 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 4 6 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,96,-745740] |
[a1,a2,a3,a4,a6] |
Generators |
[7052:592242:1] |
Generators of the group modulo torsion |
j |
23639903/58659176448 |
j-invariant |
L |
8.3504265964621 |
L(r)(E,1)/r! |
Ω |
0.25533768688052 |
Real period |
R |
8.1758657510559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6486o1 |
Quadratic twists by: -4 |