Atkin-Lehner |
3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8379n |
Isogeny class |
Conductor |
8379 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
131994060219 = 310 · 76 · 19 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44771,3657336] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:2724:1] [86:618:1] |
Generators of the group modulo torsion |
j |
115714886617/1539 |
j-invariant |
L |
3.4898557662432 |
L(r)(E,1)/r! |
Ω |
0.94732948849032 |
Real period |
R |
1.841944016651 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2793c3 171a3 |
Quadratic twists by: -3 -7 |