Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020bw |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-84908459790000 = -1 · 24 · 38 · 54 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9408,-565607] |
[a1,a2,a3,a4,a6] |
Generators |
[266:3969:1] |
Generators of the group modulo torsion |
j |
-67108864/61875 |
j-invariant |
L |
6.4073687437793 |
L(r)(E,1)/r! |
Ω |
0.23349820795331 |
Real period |
R |
2.2867301665759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999877643 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32340bl1 1980e1 |
Quadratic twists by: -3 -7 |