Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
52560bg |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
89506736640000 = 212 · 38 · 54 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12387,-272734] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:216:1] |
Generators of the group modulo torsion |
j |
70393838689/29975625 |
j-invariant |
L |
6.8154136693836 |
L(r)(E,1)/r! |
Ω |
0.47020449594661 |
Real period |
R |
1.8118216989014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999517 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3285a2 17520j2 |
Quadratic twists by: -4 -3 |