Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360ds |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
8460288 |
Modular degree for the optimal curve |
Δ |
5.4854748899764E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -3 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20490485,-2186889117] |
[a1,a2,a3,a4,a6] |
j |
115220905984/66430125 |
j-invariant |
L |
2.7840890282449 |
L(r)(E,1)/r! |
Ω |
0.077335806452076 |
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 |
4335c1 69360cl1 |
Quadratic twists by: -4 17 |