Atkin-Lehner |
3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8415a |
Isogeny class |
Conductor |
8415 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
92018025 = 39 · 52 · 11 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-150,575] |
[a1,a2,a3,a4,a6] |
j |
19034163/4675 |
j-invariant |
L |
1.7876723867056 |
L(r)(E,1)/r! |
Ω |
1.7876723867056 |
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 |
8415i1 42075d1 92565f1 |
Quadratic twists by: -3 5 -11 |