Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200cn |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
493177248000 = 28 · 312 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-317055,-68714750] |
[a1,a2,a3,a4,a6] |
Generators |
[689:6318:1] |
Generators of the group modulo torsion |
j |
151094976293648/21141 |
j-invariant |
L |
5.3256715119808 |
L(r)(E,1)/r! |
Ω |
0.2011944084374 |
Real period |
R |
3.3087844944122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999624 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400cm1 17400s1 52200bh1 |
Quadratic twists by: -4 -3 5 |