Atkin-Lehner |
2+ 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
19080a |
Isogeny class |
Conductor |
19080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-6676473600 = -1 · 28 · 39 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,297,3402] |
[a1,a2,a3,a4,a6] |
j |
574992/1325 |
j-invariant |
L |
1.8554575944752 |
L(r)(E,1)/r! |
Ω |
0.92772879723758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38160a1 19080h1 95400t1 |
Quadratic twists by: -4 -3 5 |