Atkin-Lehner |
2+ 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
105270be |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
9247548420 = 22 · 32 · 5 · 116 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-608,3386] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:759:8] |
Generators of the group modulo torsion |
j |
13997521/5220 |
j-invariant |
L |
5.7446485128628 |
L(r)(E,1)/r! |
Ω |
1.1853744086298 |
Real period |
R |
2.423136716759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013139 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
870h1 |
Quadratic twists by: -11 |