Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37400w |
Isogeny class |
Conductor |
37400 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-2262700000000 = -1 · 28 · 58 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- 3 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-500,72500] |
[a1,a2,a3,a4,a6] |
Generators |
[25:275:1] |
Generators of the group modulo torsion |
j |
-138240/22627 |
j-invariant |
L |
5.929343499981 |
L(r)(E,1)/r! |
Ω |
0.67082169247241 |
Real period |
R |
0.49105146109245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74800p1 37400d1 |
Quadratic twists by: -4 5 |