Atkin-Lehner |
3+ 5+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
98475g |
Isogeny class |
Conductor |
98475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2181898265625 = 34 · 56 · 132 · 1012 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6288,175656] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:588:1] [-442:5005:8] |
Generators of the group modulo torsion |
j |
1759728233017/139641489 |
j-invariant |
L |
5.8457284264315 |
L(r)(E,1)/r! |
Ω |
0.80434595312327 |
Real period |
R |
3.6338396455873 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999613 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3939c2 |
Quadratic twists by: 5 |