Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38962bd |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1285777715068 = -1 · 22 · 73 · 116 · 232 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 11- -4 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-991,-55613] |
[a1,a2,a3,a4,a6] |
j |
-60698457/725788 |
j-invariant |
L |
1.4659799878483 |
L(r)(E,1)/r! |
Ω |
0.36649499698178 |
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 |
322a1 |
Quadratic twists by: -11 |