Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800fr |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-3974941900800000000 = -1 · 230 · 36 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -3 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-469875,-156748750] |
[a1,a2,a3,a4,a6] |
Generators |
[3998927:1069254:4913] |
Generators of the group modulo torsion |
j |
-9836106385/3407872 |
j-invariant |
L |
3.9395735645395 |
L(r)(E,1)/r! |
Ω |
0.089609224645867 |
Real period |
R |
10.990982178704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5850bb1 5200bj1 46800dp1 |
Quadratic twists by: -4 -3 5 |