Atkin-Lehner |
2- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
98600k |
Isogeny class |
Conductor |
98600 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
6364800 |
Modular degree for the optimal curve |
Δ |
2.519281875925E+20 |
Discriminant |
Eigenvalues |
2- -3 5+ 0 -3 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8434375,-9397193750] |
[a1,a2,a3,a4,a6] |
Generators |
[-1751:1682:1] |
Generators of the group modulo torsion |
j |
26542536433650000/100771275037 |
j-invariant |
L |
3.3488880244081 |
L(r)(E,1)/r! |
Ω |
0.088610563254335 |
Real period |
R |
1.8896663676475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001217 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98600j1 |
Quadratic twists by: 5 |