Atkin-Lehner |
2- 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
12390s |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1243448010000 = 24 · 36 · 54 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-53101,-4713919] |
[a1,a2,a3,a4,a6] |
j |
16558932000702804049/1243448010000 |
j-invariant |
L |
3.7740447028816 |
L(r)(E,1)/r! |
Ω |
0.31450372524013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99120bo2 37170k2 61950g2 86730cd2 |
Quadratic twists by: -4 -3 5 -7 |