Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710co |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
1839906583287300 = 22 · 33 · 52 · 119 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2266151,-1313237595] |
[a1,a2,a3,a4,a6] |
Generators |
[6258:476031:1] |
Generators of the group modulo torsion |
j |
726497538898787209/1038579300 |
j-invariant |
L |
10.407170244552 |
L(r)(E,1)/r! |
Ω |
0.12304879915652 |
Real period |
R |
3.5240660330954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610n1 |
Quadratic twists by: -11 |