Atkin-Lehner |
5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
10675d |
Isogeny class |
Conductor |
10675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
6671875 = 56 · 7 · 61 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7+ -3 4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188,906] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:32:1] [4:13:1] |
Generators of the group modulo torsion |
j |
47045881/427 |
j-invariant |
L |
3.421978180778 |
L(r)(E,1)/r! |
Ω |
2.3822016669158 |
Real period |
R |
0.71823855811674 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96075y1 427b1 74725e1 |
Quadratic twists by: -3 5 -7 |