Atkin-Lehner |
3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
116865x |
Isogeny class |
Conductor |
116865 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12078602774245665 = 318 · 5 · 76 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-629978,-192227808] |
[a1,a2,a3,a4,a6] |
Generators |
[-453:422:1] [35478:2303877:8] |
Generators of the group modulo torsion |
j |
322391399464009/140831865 |
j-invariant |
L |
6.8619745842414 |
L(r)(E,1)/r! |
Ω |
0.16946485671517 |
Real period |
R |
20.246010620031 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000009745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38955h4 2385h4 |
Quadratic twists by: -3 -7 |