Atkin-Lehner |
2- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66424p |
Isogeny class |
Conductor |
66424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-17312884208 = -1 · 24 · 196 · 23 |
Discriminant |
Eigenvalues |
2- -3 0 -2 0 5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19855,1076863] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:905:1] [57:361:1] |
Generators of the group modulo torsion |
j |
-1149984000/23 |
j-invariant |
L |
6.3540732276315 |
L(r)(E,1)/r! |
Ω |
1.1347495842461 |
Real period |
R |
1.3998844581765 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
184d1 |
Quadratic twists by: -19 |