Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608g |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
103879736471808 = 28 · 39 · 11 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11+ -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17319,-727418] |
[a1,a2,a3,a4,a6] |
Generators |
[741:19832:1] |
Generators of the group modulo torsion |
j |
3078397198672/556625817 |
j-invariant |
L |
5.5639254016846 |
L(r)(E,1)/r! |
Ω |
0.42134429638501 |
Real period |
R |
3.3012938878827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000511 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29304f1 19536p1 |
Quadratic twists by: -4 -3 |