Atkin-Lehner |
3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37479a |
Isogeny class |
Conductor |
37479 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-28970782658883 = -1 · 34 · 13 · 317 |
Discriminant |
Eigenvalues |
0 3+ 0 -2 -1 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12813,-611134] |
[a1,a2,a3,a4,a6] |
j |
-262144000/32643 |
j-invariant |
L |
0.89124763180259 |
L(r)(E,1)/r! |
Ω |
0.22281190794215 |
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 |
112437e1 1209b1 |
Quadratic twists by: -3 -31 |