Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bs |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-25542224773120 = -1 · 218 · 5 · 117 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6292,149072] |
[a1,a2,a3,a4,a6] |
Generators |
[253:4235:1] |
Generators of the group modulo torsion |
j |
59319/55 |
j-invariant |
L |
4.756889914419 |
L(r)(E,1)/r! |
Ω |
0.43862630046123 |
Real period |
R |
2.7112429814495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38720c1 9680w1 3520o1 |
Quadratic twists by: -4 8 -11 |