Atkin-Lehner |
3- 7+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
13629b |
Isogeny class |
Conductor |
13629 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4160 |
Modular degree for the optimal curve |
Δ |
85004073 = 35 · 72 · 112 · 59 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-273,1656] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:51:1] |
Generators of the group modulo torsion |
j |
2250666132625/85004073 |
j-invariant |
L |
3.5583126222553 |
L(r)(E,1)/r! |
Ω |
1.9026958239759 |
Real period |
R |
0.37402853124676 |
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 |
40887h1 95403f1 |
Quadratic twists by: -3 -7 |