Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950eq |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-502125631875000 = -1 · 23 · 39 · 57 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,15287,802031] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:492:1] |
Generators of the group modulo torsion |
j |
10531168151/13384440 |
j-invariant |
L |
10.655896504558 |
L(r)(E,1)/r! |
Ω |
0.35123318813569 |
Real period |
R |
2.5282103201238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24990r1 124950hu1 |
Quadratic twists by: 5 -7 |