Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8976s |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-25441143552 = -1 · 28 · 312 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 11- -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93,7713] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1458:1] |
Generators of the group modulo torsion |
j |
-351232000/99379467 |
j-invariant |
L |
3.7249267490553 |
L(r)(E,1)/r! |
Ω |
0.97041957383859 |
Real period |
R |
0.95961758436121 |
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 |
2244b1 35904ch1 26928bg1 98736ce1 |
Quadratic twists by: -4 8 -3 -11 |