Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25992i |
Isogeny class |
Conductor |
25992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-166817919419136 = -1 · 28 · 36 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 3 4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4332,631028] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-722:1] |
Generators of the group modulo torsion |
j |
-1024/19 |
j-invariant |
L |
5.4614398793143 |
L(r)(E,1)/r! |
Ω |
0.48287772801276 |
Real period |
R |
0.35344350407493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51984t1 2888f1 1368f1 |
Quadratic twists by: -4 -3 -19 |