Atkin-Lehner |
2- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
59488q |
Isogeny class |
Conductor |
59488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42624 |
Modular degree for the optimal curve |
Δ |
-1497193984 = -1 · 29 · 113 · 133 |
Discriminant |
Eigenvalues |
2- 0 -1 -3 11+ 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13403,597246] |
[a1,a2,a3,a4,a6] |
Generators |
[65:26:1] |
Generators of the group modulo torsion |
j |
-236717162856/1331 |
j-invariant |
L |
3.0910640630604 |
L(r)(E,1)/r! |
Ω |
1.3415025094741 |
Real period |
R |
0.57604515106393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000549 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59488z1 118976dr1 59488m1 |
Quadratic twists by: -4 8 13 |