Atkin-Lehner |
2- 3+ 11- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28842n |
Isogeny class |
Conductor |
28842 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
113664 |
Modular degree for the optimal curve |
Δ |
24558828250176 = 26 · 38 · 11 · 19 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27157,1694651] |
[a1,a2,a3,a4,a6] |
j |
2214981424688275153/24558828250176 |
j-invariant |
L |
4.0518056706378 |
L(r)(E,1)/r! |
Ω |
0.67530094510628 |
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 |
86526i1 |
Quadratic twists by: -3 |