Atkin-Lehner |
3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8379n |
Isogeny class |
Conductor |
8379 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-33531379964523 = -1 · 37 · 76 · 194 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3739,263400] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:240:1] [-31:357:1] |
Generators of the group modulo torsion |
j |
67419143/390963 |
j-invariant |
L |
3.4898557662432 |
L(r)(E,1)/r! |
Ω |
0.47366474424516 |
Real period |
R |
0.46048600416276 |
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 |
2793c4 171a4 |
Quadratic twists by: -3 -7 |