Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
1368h |
Isogeny class |
Conductor |
1368 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-28366848 = -1 · 211 · 36 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -2 1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,358] |
[a1,a2,a3,a4,a6] |
j |
-31250/19 |
j-invariant |
L |
1.9455239483422 |
L(r)(E,1)/r! |
Ω |
1.9455239483422 |
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 |
2736e1 10944m1 152b1 34200bf1 |
Quadratic twists by: -4 8 -3 5 |