Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240dh |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.8324283158211E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18784001,-18068103585] |
[a1,a2,a3,a4,a6] |
Generators |
[-1431:76704:1] |
Generators of the group modulo torsion |
j |
5592141049774548528002/2160971310288305025 |
j-invariant |
L |
7.4423662249775 |
L(r)(E,1)/r! |
Ω |
0.074935602829049 |
Real period |
R |
6.2073016416907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999698861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240gh6 14280bk5 |
Quadratic twists by: -4 8 |