Atkin-Lehner |
2+ 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710q |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
3.8328122879599E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-843452,-13491456] |
[a1,a2,a3,a4,a6] |
Generators |
[-745:14588:1] |
Generators of the group modulo torsion |
j |
2749236527524969/1587903192720 |
j-invariant |
L |
4.3352758124478 |
L(r)(E,1)/r! |
Ω |
0.17206089101056 |
Real period |
R |
2.0996810062296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999889513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630k1 |
Quadratic twists by: 17 |