Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
52020bj |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1057536 |
Modular degree for the optimal curve |
Δ |
-1373038337112030000 = -1 · 24 · 39 · 54 · 178 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4539612,-3723282659] |
[a1,a2,a3,a4,a6] |
Generators |
[3718608317:-1313603874990:29791] |
Generators of the group modulo torsion |
j |
-127157223424/16875 |
j-invariant |
L |
6.7463468346404 |
L(r)(E,1)/r! |
Ω |
0.051714391316354 |
Real period |
R |
16.306744271074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340o1 52020q1 |
Quadratic twists by: -3 17 |