Atkin-Lehner |
2- 3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550bx |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
23224286250000 = 24 · 33 · 57 · 114 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13536063,-19169563383] |
[a1,a2,a3,a4,a6] |
j |
17554189775728898324521/1486354320 |
j-invariant |
L |
7.5560999056221 |
L(r)(E,1)/r! |
Ω |
0.078709374802833 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510b3 |
Quadratic twists by: 5 |