Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
94864br |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2509056 |
Modular degree for the optimal curve |
Δ |
969215044350902272 = 223 · 72 · 119 |
Discriminant |
Eigenvalues |
2- 1 -4 7- 11+ 3 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2400680,1430108084] |
[a1,a2,a3,a4,a6] |
Generators |
[14318:1703680:1] |
Generators of the group modulo torsion |
j |
3233229419/2048 |
j-invariant |
L |
5.880663201432 |
L(r)(E,1)/r! |
Ω |
0.27550342974704 |
Real period |
R |
2.6681442853287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999797438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858g1 94864bd1 94864bs1 |
Quadratic twists by: -4 -7 -11 |