Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67518l |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
26019840 |
Modular degree for the optimal curve |
Δ |
-7.3551226633179E+23 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 11- 5 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1738515015,27901209024189] |
[a1,a2,a3,a4,a6] |
Generators |
[24654:144489:1] |
Generators of the group modulo torsion |
j |
-3718690552005865823761/4706747606016 |
j-invariant |
L |
4.0623260373597 |
L(r)(E,1)/r! |
Ω |
0.076237211428919 |
Real period |
R |
2.2202226668703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22506bh1 67518bm1 |
Quadratic twists by: -3 -11 |