Atkin-Lehner |
2- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72200be |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23616 |
Modular degree for the optimal curve |
Δ |
-92416000 = -1 · 211 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 2 5- -1 -5 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32,-468] |
[a1,a2,a3,a4,a6] |
j |
38 |
j-invariant |
L |
1.8421258997146 |
L(r)(E,1)/r! |
Ω |
0.92106295788352 |
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 |
72200s1 72200p1 |
Quadratic twists by: 5 -19 |