Atkin-Lehner |
2+ 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
5904b |
Isogeny class |
Conductor |
5904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-2267136 = -1 · 211 · 33 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -4 0 -3 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99,386] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-36:1] [-2:24:1] |
Generators of the group modulo torsion |
j |
-1940598/41 |
j-invariant |
L |
4.2074611641442 |
L(r)(E,1)/r! |
Ω |
2.5936078466149 |
Real period |
R |
0.20278032633361 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2952a1 23616bj1 5904a1 |
Quadratic twists by: -4 8 -3 |