Atkin-Lehner |
2+ 5- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
11390f |
Isogeny class |
Conductor |
11390 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11712 |
Modular degree for the optimal curve |
Δ |
4769562500 = 22 · 56 · 17 · 672 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5489,-155127] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:24:1] |
Generators of the group modulo torsion |
j |
18291440522113641/4769562500 |
j-invariant |
L |
3.6994435407333 |
L(r)(E,1)/r! |
Ω |
0.55466317589602 |
Real period |
R |
1.1116186367691 |
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 |
91120o1 102510s1 56950m1 |
Quadratic twists by: -4 -3 5 |