Atkin-Lehner |
5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
9425b |
Isogeny class |
Conductor |
9425 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2220765625 = 56 · 132 · 292 |
Discriminant |
Eigenvalues |
-1 0 5+ 0 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-330,-328] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:20:1] [-10:48:1] |
Generators of the group modulo torsion |
j |
253636137/142129 |
j-invariant |
L |
3.8326787134404 |
L(r)(E,1)/r! |
Ω |
1.2042062278995 |
Real period |
R |
3.1827428098643 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
84825m2 377a2 122525h2 |
Quadratic twists by: -3 5 13 |