Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240hl |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1.1113695501379E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5543105,-4758363903] |
[a1,a2,a3,a4,a6] |
Generators |
[-1581:7140:1] |
Generators of the group modulo torsion |
j |
574821721947776978312/33916307072078025 |
j-invariant |
L |
5.8818764645569 |
L(r)(E,1)/r! |
Ω |
0.098755123470189 |
Real period |
R |
1.8612567270383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000088626 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240jx4 57120ca3 |
Quadratic twists by: -4 8 |