Atkin-Lehner |
2- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
96832p |
Isogeny class |
Conductor |
96832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
6197248 = 212 · 17 · 89 |
Discriminant |
Eigenvalues |
2- 0 0 0 2 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2020,34944] |
[a1,a2,a3,a4,a6] |
Generators |
[58:336:1] |
Generators of the group modulo torsion |
j |
222545016000/1513 |
j-invariant |
L |
5.8568104825615 |
L(r)(E,1)/r! |
Ω |
2.131527469562 |
Real period |
R |
2.7477058500701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999741512 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96832q1 48416b1 |
Quadratic twists by: -4 8 |