Atkin-Lehner |
3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
9225g |
Isogeny class |
Conductor |
9225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-20175075 = -1 · 39 · 52 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 3 2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1662,-25669] |
[a1,a2,a3,a4,a6] |
j |
-1032125355/41 |
j-invariant |
L |
2.9908078227854 |
L(r)(E,1)/r! |
Ω |
0.37385097784818 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9225c1 9225m1 |
Quadratic twists by: -3 5 |