Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2394g |
Isogeny class |
Conductor |
2394 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
71133372072 = 23 · 33 · 7 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1325,-13075] |
[a1,a2,a3,a4,a6] |
j |
9521387989875/2634569336 |
j-invariant |
L |
3.2314497280754 |
L(r)(E,1)/r! |
Ω |
0.80786243201885 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
19152bc2 76608g2 2394a4 59850f2 |
Quadratic twists by: -4 8 -3 5 |