Atkin-Lehner |
3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98553q |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
709296398702157357 = 34 · 73 · 134 · 197 |
Discriminant |
Eigenvalues |
1 3+ -2 7- -4 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12558836,-17135771121] |
[a1,a2,a3,a4,a6] |
j |
4656400509904241617/15076694997 |
j-invariant |
L |
0.96237335977674 |
L(r)(E,1)/r! |
Ω |
0.080197769056903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5187j3 |
Quadratic twists by: -19 |