Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020bw |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
199251852307200 = 28 · 37 · 52 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-174783,-28117082] |
[a1,a2,a3,a4,a6] |
Generators |
[-241:90:1] |
Generators of the group modulo torsion |
j |
26894628304/9075 |
j-invariant |
L |
6.4073687437793 |
L(r)(E,1)/r! |
Ω |
0.23349820795331 |
Real period |
R |
1.143365083288 |
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 |
32340bl2 1980e2 |
Quadratic twists by: -3 -7 |