Atkin-Lehner |
2- 3- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
97284i |
Isogeny class |
Conductor |
97284 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1647360 |
Modular degree for the optimal curve |
Δ |
-9827775067435776 = -1 · 28 · 35 · 119 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 5 11+ 5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-173917,-28379089] |
[a1,a2,a3,a4,a6] |
j |
-963780608/16281 |
j-invariant |
L |
4.6709831465583 |
L(r)(E,1)/r! |
Ω |
0.11677457263955 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97284j1 |
Quadratic twists by: -11 |