Atkin-Lehner |
3- 5- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
65835bc |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-274482805201171875 = -1 · 38 · 59 · 7 · 115 · 19 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 11+ 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-618357,188847225] |
[a1,a2,a3,a4,a6] |
j |
-35868567163630219264/376519623046875 |
j-invariant |
L |
5.5918541026285 |
L(r)(E,1)/r! |
Ω |
0.31065856197234 |
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 |
21945v1 |
Quadratic twists by: -3 |