Atkin-Lehner |
2- 3- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648bh |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5979334422528 = -1 · 212 · 37 · 192 · 432 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 -4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,117650] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:144:1] [-41:234:1] [-31:304:1] |
Generators of the group modulo torsion |
j |
-117649/2002467 |
j-invariant |
L |
11.755895587955 |
L(r)(E,1)/r! |
Ω |
0.60470713323354 |
Real period |
R |
1.2150401969044 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
1.0000000000185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7353p2 39216n2 |
Quadratic twists by: -4 -3 |