Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950be |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
3627914062500 = 22 · 36 · 59 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6567,184841] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:438:1] |
Generators of the group modulo torsion |
j |
2749884201/318500 |
j-invariant |
L |
3.8282662565879 |
L(r)(E,1)/r! |
Ω |
0.76285170920317 |
Real period |
R |
0.62729528727578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4550r1 8190bi1 |
Quadratic twists by: -3 5 |