Atkin-Lehner |
2- 3- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390bs |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
832253460480 = 218 · 36 · 5 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 6 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9723398,11672547221] |
[a1,a2,a3,a4,a6] |
Generators |
[-3519:49747:1] |
Generators of the group modulo torsion |
j |
139460214921525292705561/1141637120 |
j-invariant |
L |
10.150567761103 |
L(r)(E,1)/r! |
Ω |
0.44136407469297 |
Real period |
R |
5.7495434859492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987889 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
8710h3 |
Quadratic twists by: -3 |