Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120cc |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7830466560 = 212 · 33 · 5 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-561,2655] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:84:1] |
Generators of the group modulo torsion |
j |
4775581504/1911735 |
j-invariant |
L |
6.7604009580949 |
L(r)(E,1)/r! |
Ω |
1.1947319019479 |
Real period |
R |
0.4715423984126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120bg2 114240hn1 |
Quadratic twists by: -4 8 |