Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408bl |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
152501768943552 = 26 · 310 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18440,-765066] |
[a1,a2,a3,a4,a6] |
Generators |
[709:18522:1] |
Generators of the group modulo torsion |
j |
92100460096/20253807 |
j-invariant |
L |
3.9642955887639 |
L(r)(E,1)/r! |
Ω |
0.41611153467641 |
Real period |
R |
0.95270023981593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9408t1 4704h2 28224cs1 1344e1 |
Quadratic twists by: -4 8 -3 -7 |