Atkin-Lehner |
2- 5+ 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
105850h |
Isogeny class |
Conductor |
105850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-3307812500 = -1 · 22 · 58 · 29 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 -6 -6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,37,2781] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:52:1] |
Generators of the group modulo torsion |
j |
357911/211700 |
j-invariant |
L |
5.0742066038467 |
L(r)(E,1)/r! |
Ω |
1.1010936563501 |
Real period |
R |
1.1520833287515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21170a1 |
Quadratic twists by: 5 |