Atkin-Lehner |
2- 3+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8778l |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
9568 |
Modular degree for the optimal curve |
Δ |
-251682816 = -1 · 213 · 3 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11- 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2695,52733] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-30:1] |
Generators of the group modulo torsion |
j |
-2164761684272881/251682816 |
j-invariant |
L |
5.9485432757775 |
L(r)(E,1)/r! |
Ω |
1.6838866709387 |
Real period |
R |
0.13587026368223 |
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 |
70224cs1 26334k1 61446df1 96558v1 |
Quadratic twists by: -4 -3 -7 -11 |