Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15200g |
Isogeny class |
Conductor |
15200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-152000000 = -1 · 29 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3 5+ -1 -2 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,125,-250] |
[a1,a2,a3,a4,a6] |
j |
27000/19 |
j-invariant |
L |
4.1224840465028 |
L(r)(E,1)/r! |
Ω |
1.0306210116257 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15200c1 30400bl1 608f1 |
Quadratic twists by: -4 8 5 |