Atkin-Lehner |
2- 3- 7+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32718m |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
187392 |
Modular degree for the optimal curve |
Δ |
19885173747012 = 22 · 33 · 78 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 0 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16365,775341] |
[a1,a2,a3,a4,a6] |
j |
484700424059975761/19885173747012 |
j-invariant |
L |
4.0692785960863 |
L(r)(E,1)/r! |
Ω |
0.67821309934911 |
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 |
98154u1 |
Quadratic twists by: -3 |