Atkin-Lehner |
2- 3- 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18204a |
Isogeny class |
Conductor |
18204 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3552 |
Modular degree for the optimal curve |
Δ |
8956368 = 24 · 32 · 37 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97,308] |
[a1,a2,a3,a4,a6] |
j |
6373654528/559773 |
j-invariant |
L |
2.2552767223277 |
L(r)(E,1)/r! |
Ω |
2.2552767223277 |
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 |
72816i1 54612b1 |
Quadratic twists by: -4 -3 |