Atkin-Lehner |
2- 5+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
73150be |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
46476584000000000 = 212 · 59 · 7 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3131713,-2134427969] |
[a1,a2,a3,a4,a6] |
j |
217395004414980151369/2974501376000 |
j-invariant |
L |
8.1712202592057 |
L(r)(E,1)/r! |
Ω |
0.11348917049496 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630g3 |
Quadratic twists by: 5 |