Atkin-Lehner |
5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
10675l |
Isogeny class |
Conductor |
10675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1248 |
Modular degree for the optimal curve |
Δ |
-10675 = -1 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
2 2 5+ 7- -2 -4 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8,13] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:17:8] |
Generators of the group modulo torsion |
j |
-2560000/427 |
j-invariant |
L |
11.646414159204 |
L(r)(E,1)/r! |
Ω |
3.9049194394571 |
Real period |
R |
2.982497933638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96075bs1 10675n1 74725j1 |
Quadratic twists by: -3 5 -7 |