Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9408b |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-183611771191296 = -1 · 217 · 35 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -3 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7775,-598751] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1168:1] |
Generators of the group modulo torsion |
j |
68782/243 |
j-invariant |
L |
3.7580979175799 |
L(r)(E,1)/r! |
Ω |
0.28956717530626 |
Real period |
R |
3.2445821195074 |
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 |
9408ck1 1176d1 28224z1 9408bc1 |
Quadratic twists by: -4 8 -3 -7 |