Atkin-Lehner |
2- 3- 11+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782bd |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
185244883618674 = 2 · 3 · 113 · 176 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39419,2937039] |
[a1,a2,a3,a4,a6] |
Generators |
[-29046:535199:216] |
Generators of the group modulo torsion |
j |
6773937866574286897/185244883618674 |
j-invariant |
L |
8.7508660132133 |
L(r)(E,1)/r! |
Ω |
0.56641770681593 |
Real period |
R |
5.1498307744211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104346x2 |
Quadratic twists by: -3 |