Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020q |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-87870066867475200 = -1 · 28 · 39 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-756364392,-8006537205324] |
[a1,a2,a3,a4,a6] |
j |
-1647408715474378752/3025 |
j-invariant |
L |
3.1091417911651 |
L(r)(E,1)/r! |
Ω |
0.014394175393024 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97020a1 97020l2 |
Quadratic twists by: -3 -7 |