Atkin-Lehner |
5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
10675j |
Isogeny class |
Conductor |
10675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
286056640625 = 59 · 74 · 61 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- -2 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3563,-78008] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:79:1] |
Generators of the group modulo torsion |
j |
320153881321/18307625 |
j-invariant |
L |
1.8948384624511 |
L(r)(E,1)/r! |
Ω |
0.62014338746704 |
Real period |
R |
0.76387110656396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96075bi1 2135e1 74725h1 |
Quadratic twists by: -3 5 -7 |