Atkin-Lehner |
2+ 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080ct |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
6274298880 = 210 · 36 · 5 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-552,-3224] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:41:1] [6850:200367:8] |
Generators of the group modulo torsion |
j |
24918016/8405 |
j-invariant |
L |
12.922474938932 |
L(r)(E,1)/r! |
Ω |
1.0117883042152 |
Real period |
R |
6.3859578550775 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080gf1 14760r1 13120f1 |
Quadratic twists by: -4 8 -3 |