Atkin-Lehner |
3- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96921u |
Isogeny class |
Conductor |
96921 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2720256 |
Modular degree for the optimal curve |
Δ |
-3680384301590470947 = -1 · 313 · 1110 · 89 |
Discriminant |
Eigenvalues |
-1 3- 4 4 11- 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1649858,821294444] |
[a1,a2,a3,a4,a6] |
Generators |
[1174:21805:1] |
Generators of the group modulo torsion |
j |
-26266897921/194643 |
j-invariant |
L |
6.9034388944905 |
L(r)(E,1)/r! |
Ω |
0.25044652735404 |
Real period |
R |
6.8911305564398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32307k1 96921s1 |
Quadratic twists by: -3 -11 |