Atkin-Lehner |
3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325bg |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
39644045441015625 = 312 · 58 · 192 · 232 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-885042,320552991] |
[a1,a2,a3,a4,a6] |
Generators |
[110274:216563:216] |
Generators of the group modulo torsion |
j |
6730821544759129/3480410025 |
j-invariant |
L |
8.4830494669407 |
L(r)(E,1)/r! |
Ω |
0.35859227325285 |
Real period |
R |
5.9141329159861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000341 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32775u2 19665u2 |
Quadratic twists by: -3 5 |