Atkin-Lehner |
3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8925d |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-10458984375 = -1 · 32 · 510 · 7 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 0 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,350,4375] |
[a1,a2,a3,a4,a6] |
j |
302111711/669375 |
j-invariant |
L |
1.783766502638 |
L(r)(E,1)/r! |
Ω |
0.89188325131902 |
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 |
26775x1 1785k1 62475bs1 |
Quadratic twists by: -3 5 -7 |