Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020cn |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-64071923757534000 = -1 · 24 · 38 · 53 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,94668,4756381] |
[a1,a2,a3,a4,a6] |
Generators |
[347:8910:1] |
Generators of the group modulo torsion |
j |
199344128/136125 |
j-invariant |
L |
6.3870743907409 |
L(r)(E,1)/r! |
Ω |
0.22012072178793 |
Real period |
R |
2.4180195063007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003836 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32340bg1 97020bj1 |
Quadratic twists by: -3 -7 |