Atkin-Lehner |
2+ 3+ 13- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
38454d |
Isogeny class |
Conductor |
38454 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
113746932 = 22 · 32 · 13 · 172 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -6 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-246,1296] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:51:1] [-6:54:1] |
Generators of the group modulo torsion |
j |
1656855346537/113746932 |
j-invariant |
L |
4.6195329146674 |
L(r)(E,1)/r! |
Ω |
1.8359357472905 |
Real period |
R |
0.62904338039679 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115362p2 |
Quadratic twists by: -3 |