Atkin-Lehner |
2+ 3- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
9078b |
Isogeny class |
Conductor |
9078 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
370845378 = 2 · 34 · 172 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 6 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-896,-10348] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:13:1] |
Generators of the group modulo torsion |
j |
79423824021625/370845378 |
j-invariant |
L |
4.0982137531138 |
L(r)(E,1)/r! |
Ω |
0.87297671689155 |
Real period |
R |
1.1736320321654 |
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 |
72624m2 27234o2 |
Quadratic twists by: -4 -3 |