Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38962be |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
803296187579116 = 22 · 7 · 119 · 233 |
Discriminant |
Eigenvalues |
2- 1 3 7+ 11- 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37694,2461592] |
[a1,a2,a3,a4,a6] |
j |
3343374301177/453439756 |
j-invariant |
L |
5.8067956078892 |
L(r)(E,1)/r! |
Ω |
0.48389963400127 |
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 |
3542i1 |
Quadratic twists by: -11 |