Atkin-Lehner |
2- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
18326be |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
4984672 = 25 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 11- 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-64,160] |
[a1,a2,a3,a4,a6] |
Generators |
[12:28:1] |
Generators of the group modulo torsion |
j |
592231633/101728 |
j-invariant |
L |
7.9108104879121 |
L(r)(E,1)/r! |
Ω |
2.3167617955382 |
Real period |
R |
0.341459812707 |
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 |
18326w1 |
Quadratic twists by: -7 |