Atkin-Lehner |
2- 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11590j |
Isogeny class |
Conductor |
11590 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
2640 |
Modular degree for the optimal curve |
Δ |
-59340800 = -1 · 211 · 52 · 19 · 61 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 -1 -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,94,-81] |
[a1,a2,a3,a4,a6] |
Generators |
[9:35:1] |
Generators of the group modulo torsion |
j |
91794884831/59340800 |
j-invariant |
L |
4.9292666693966 |
L(r)(E,1)/r! |
Ω |
1.1301665661327 |
Real period |
R |
0.19825181756027 |
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 |
92720j1 104310bc1 57950j1 |
Quadratic twists by: -4 -3 5 |