Atkin-Lehner |
2+ 3- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
102306h |
Isogeny class |
Conductor |
102306 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6999200227262284128 = 25 · 312 · 178 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2984654,-1980835936] |
[a1,a2,a3,a4,a6] |
j |
121818136413690361/289971215712 |
j-invariant |
L |
5.5141611939226 |
L(r)(E,1)/r! |
Ω |
0.11487835138585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6018c2 |
Quadratic twists by: 17 |