Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5202f |
Isogeny class |
Conductor |
5202 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-730641708 = -1 · 22 · 37 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -4 3 4 -5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54,-1296] |
[a1,a2,a3,a4,a6] |
Generators |
[30:138:1] |
Generators of the group modulo torsion |
j |
-289/12 |
j-invariant |
L |
2.3966326723266 |
L(r)(E,1)/r! |
Ω |
0.70078632904835 |
Real period |
R |
0.2849932726738 |
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 |
41616cx1 1734m1 5202d1 |
Quadratic twists by: -4 -3 17 |