Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38962bb |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
198528 |
Modular degree for the optimal curve |
Δ |
-2689295932330084 = -1 · 22 · 72 · 1110 · 232 |
Discriminant |
Eigenvalues |
2- 0 -1 7+ 11- 3 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,33857,681035] |
[a1,a2,a3,a4,a6] |
j |
165483351/103684 |
j-invariant |
L |
2.2554932209007 |
L(r)(E,1)/r! |
Ω |
0.28193665260339 |
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 |
38962o1 |
Quadratic twists by: -11 |