Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
96432s |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1154048 |
Modular degree for the optimal curve |
Δ |
-3705228163961856 = -1 · 210 · 37 · 79 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 6 -5 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-777352,-264075484] |
[a1,a2,a3,a4,a6] |
j |
-1257173201596/89667 |
j-invariant |
L |
2.2509779110593 |
L(r)(E,1)/r! |
Ω |
0.080392072324447 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48216d1 96432f1 |
Quadratic twists by: -4 -7 |