Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
52560bg |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
255441600000000 = 212 · 37 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-170067,-26983726] |
[a1,a2,a3,a4,a6] |
Generators |
[-241:70:1] |
Generators of the group modulo torsion |
j |
182178192210769/85546875 |
j-invariant |
L |
6.8154136693836 |
L(r)(E,1)/r! |
Ω |
0.2351022479733 |
Real period |
R |
3.6236433978028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999517 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3285a3 17520j3 |
Quadratic twists by: -4 -3 |