Atkin-Lehner |
2+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
93248s |
Isogeny class |
Conductor |
93248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-23871488 = -1 · 214 · 31 · 47 |
Discriminant |
Eigenvalues |
2+ -1 -4 4 0 -1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15,-239] |
[a1,a2,a3,a4,a6] |
Generators |
[15:56:1] |
Generators of the group modulo torsion |
j |
21296/1457 |
j-invariant |
L |
4.5608435049928 |
L(r)(E,1)/r! |
Ω |
1.0163250902256 |
Real period |
R |
2.2437916521736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93248w1 5828f1 |
Quadratic twists by: -4 8 |