Atkin-Lehner |
2+ 3- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127512i |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
463732300875368448 = 211 · 38 · 7 · 118 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-600339,-176013682] |
[a1,a2,a3,a4,a6] |
Generators |
[50498:3980295:8] |
Generators of the group modulo torsion |
j |
16027135325685794/310606018569 |
j-invariant |
L |
7.5683754329416 |
L(r)(E,1)/r! |
Ω |
0.1717163802443 |
Real period |
R |
5.5093574930511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42504m3 |
Quadratic twists by: -3 |