Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18050g |
Isogeny class |
Conductor |
18050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-45125000 = -1 · 23 · 56 · 192 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 3 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,49,298] |
[a1,a2,a3,a4,a6] |
j |
2375/8 |
j-invariant |
L |
2.8634277777559 |
L(r)(E,1)/r! |
Ω |
1.4317138888779 |
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 |
722f1 18050p1 |
Quadratic twists by: 5 -19 |