Atkin-Lehner |
2- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18772i |
Isogeny class |
Conductor |
18772 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
151200 |
Modular degree for the optimal curve |
Δ |
-5310213113416432 = -1 · 24 · 135 · 197 |
Discriminant |
Eigenvalues |
2- -2 4 2 0 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,41034,1447717] |
[a1,a2,a3,a4,a6] |
j |
10150866176/7054567 |
j-invariant |
L |
2.7165236722236 |
L(r)(E,1)/r! |
Ω |
0.27165236722236 |
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 |
75088bf1 988a1 |
Quadratic twists by: -4 -19 |