Atkin-Lehner |
3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8415a |
Isogeny class |
Conductor |
8415 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3441474135 = 39 · 5 · 112 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-825,-8470] |
[a1,a2,a3,a4,a6] |
j |
3157114563/174845 |
j-invariant |
L |
1.7876723867056 |
L(r)(E,1)/r! |
Ω |
0.89383619335279 |
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 |
8415i2 42075d2 92565f2 |
Quadratic twists by: -3 5 -11 |