Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
31152be |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
163200 |
Modular degree for the optimal curve |
Δ |
-343293811863552 = -1 · 212 · 317 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- 7 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17403,123507] |
[a1,a2,a3,a4,a6] |
j |
142302054182912/83811965787 |
j-invariant |
L |
5.5776146702719 |
L(r)(E,1)/r! |
Ω |
0.32809498060403 |
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 |
1947b1 124608ch1 93456bk1 |
Quadratic twists by: -4 8 -3 |