Atkin-Lehner |
2- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
96748c |
Isogeny class |
Conductor |
96748 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
369360 |
Modular degree for the optimal curve |
Δ |
-291302073279232 = -1 · 28 · 198 · 67 |
Discriminant |
Eigenvalues |
2- -2 0 0 4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-91453,-10707153] |
[a1,a2,a3,a4,a6] |
Generators |
[418757947556628228586:11351806522143491226965:489544216669470689] |
Generators of the group modulo torsion |
j |
-19456000/67 |
j-invariant |
L |
4.6788583163854 |
L(r)(E,1)/r! |
Ω |
0.13723981854154 |
Real period |
R |
34.092571427943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96748e1 |
Quadratic twists by: -19 |