Atkin-Lehner |
2- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38962bf |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
1518518313004 = 22 · 7 · 119 · 23 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11+ 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2967,-20063] |
[a1,a2,a3,a4,a6] |
j |
1225043/644 |
j-invariant |
L |
2.7437728266385 |
L(r)(E,1)/r! |
Ω |
0.68594320666903 |
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 |
38962a1 |
Quadratic twists by: -11 |