Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8976v |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
156254208 = 214 · 3 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-192,-768] |
[a1,a2,a3,a4,a6] |
j |
192100033/38148 |
j-invariant |
L |
2.5995652474957 |
L(r)(E,1)/r! |
Ω |
1.2997826237479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1122j1 35904cp1 26928bd1 98736bw1 |
Quadratic twists by: -4 8 -3 -11 |