Atkin-Lehner |
2- 5+ 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050bx |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
113050 = 2 · 52 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 0 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13,7] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:373:64] |
Generators of the group modulo torsion |
j |
9765625/4522 |
j-invariant |
L |
12.818585447858 |
L(r)(E,1)/r! |
Ω |
2.9795425678272 |
Real period |
R |
4.3021991185658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050bi1 |
Quadratic twists by: 5 |