Atkin-Lehner |
2- 3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70992q |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-102504578678784 = -1 · 224 · 36 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 2 1 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1498683,-706175894] |
[a1,a2,a3,a4,a6] |
Generators |
[27376215873936345:280535948494414534:18734200194879] |
Generators of the group modulo torsion |
j |
-124671038996895481/34328576 |
j-invariant |
L |
7.0806664567613 |
L(r)(E,1)/r! |
Ω |
0.068224774137946 |
Real period |
R |
25.946097096799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8874h1 7888h1 |
Quadratic twists by: -4 -3 |