Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020bq |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-25359326657280 = -1 · 28 · 37 · 5 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9408,426692] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:882:1] |
Generators of the group modulo torsion |
j |
-4194304/1155 |
j-invariant |
L |
6.8610805328259 |
L(r)(E,1)/r! |
Ω |
0.63691310945738 |
Real period |
R |
0.22442492645704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340l1 13860u1 |
Quadratic twists by: -3 -7 |