Atkin-Lehner |
2+ 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
113230h |
Isogeny class |
Conductor |
113230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-7586410 = -1 · 2 · 5 · 132 · 672 |
Discriminant |
Eigenvalues |
2+ -2 5+ -3 -5 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4,132] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:12:1] [10:28:1] |
Generators of the group modulo torsion |
j |
-28561/44890 |
j-invariant |
L |
4.0584280571283 |
L(r)(E,1)/r! |
Ω |
1.8888590374388 |
Real period |
R |
1.0743067579738 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989347 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113230u1 |
Quadratic twists by: 13 |