Atkin-Lehner |
2- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126514k |
Isogeny class |
Conductor |
126514 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
23520 |
Modular degree for the optimal curve |
Δ |
126514 = 2 · 17 · 612 |
Discriminant |
Eigenvalues |
2- 1 -3 4 3 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-47,119] |
[a1,a2,a3,a4,a6] |
Generators |
[308:49:64] |
Generators of the group modulo torsion |
j |
3089833/34 |
j-invariant |
L |
13.507117686181 |
L(r)(E,1)/r! |
Ω |
3.3127166169774 |
Real period |
R |
4.0773537909826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126514b1 |
Quadratic twists by: 61 |