Atkin-Lehner |
2+ 5+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
66950m |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
85696000000 = 212 · 56 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 0 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2125,-35875] |
[a1,a2,a3,a4,a6] |
j |
67967263441/5484544 |
j-invariant |
L |
1.4134563033099 |
L(r)(E,1)/r! |
Ω |
0.70672815689626 |
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 |
2678k1 |
Quadratic twists by: 5 |