Atkin-Lehner |
2+ 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
117312h |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20992 |
Modular degree for the optimal curve |
Δ |
1525056 = 26 · 3 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 -1 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79,-239] |
[a1,a2,a3,a4,a6] |
j |
862801408/23829 |
j-invariant |
L |
3.2047793214822 |
L(r)(E,1)/r! |
Ω |
1.6023899670109 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117312ba1 58656y1 |
Quadratic twists by: -4 8 |