Atkin-Lehner |
2+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
15184c |
Isogeny class |
Conductor |
15184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
-141879296 = -1 · 211 · 13 · 732 |
Discriminant |
Eigenvalues |
2+ 1 -3 -1 0 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72,596] |
[a1,a2,a3,a4,a6] |
Generators |
[28:146:1] |
Generators of the group modulo torsion |
j |
-20436626/69277 |
j-invariant |
L |
4.1959134397393 |
L(r)(E,1)/r! |
Ω |
1.6107075613682 |
Real period |
R |
0.65125314184519 |
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 |
7592b1 60736g1 |
Quadratic twists by: -4 8 |