Atkin-Lehner |
3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
8325d |
Isogeny class |
Conductor |
8325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-11379234375 = -1 · 39 · 56 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 4 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,295,4672] |
[a1,a2,a3,a4,a6] |
j |
9261/37 |
j-invariant |
L |
1.8186646481798 |
L(r)(E,1)/r! |
Ω |
0.90933232408992 |
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 |
8325c1 333b1 |
Quadratic twists by: -3 5 |