Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
52020bk |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
4068261739591200000 = 28 · 36 · 55 · 178 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 1 0 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-707472,207466164] |
[a1,a2,a3,a4,a6] |
Generators |
[-867:13005:1] |
Generators of the group modulo torsion |
j |
30081024/3125 |
j-invariant |
L |
7.6834064725274 |
L(r)(E,1)/r! |
Ω |
0.23973135666333 |
Real period |
R |
1.0683356263821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5780b1 52020u1 |
Quadratic twists by: -3 17 |