Atkin-Lehner |
2+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
18326g |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-275972553472 = -1 · 28 · 78 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ 11- -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-564,-26032] |
[a1,a2,a3,a4,a6] |
Generators |
[1128:3748:27] |
Generators of the group modulo torsion |
j |
-3451273/47872 |
j-invariant |
L |
5.9406713138144 |
L(r)(E,1)/r! |
Ω |
0.41816236090656 |
Real period |
R |
2.3677690251442 |
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 |
18326r1 |
Quadratic twists by: -7 |