Atkin-Lehner |
5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
123725s |
Isogeny class |
Conductor |
123725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
114624 |
Modular degree for the optimal curve |
Δ |
-2079446075 = -1 · 52 · 77 · 101 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- 6 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,82,2148] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:24:1] |
Generators of the group modulo torsion |
j |
20480/707 |
j-invariant |
L |
2.6564565858615 |
L(r)(E,1)/r! |
Ω |
1.1091756312744 |
Real period |
R |
0.59874574065427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999994218213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123725z1 17675e1 |
Quadratic twists by: 5 -7 |