Atkin-Lehner |
3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8379k |
Isogeny class |
Conductor |
8379 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
95578365605247 = 38 · 79 · 192 |
Discriminant |
Eigenvalues |
1 3- -2 7- 6 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12798,302049] |
[a1,a2,a3,a4,a6] |
j |
7880599/3249 |
j-invariant |
L |
2.1757627330814 |
L(r)(E,1)/r! |
Ω |
0.54394068327035 |
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 |
2793k2 8379h2 |
Quadratic twists by: -3 -7 |