Atkin-Lehner |
2- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1450i |
Isogeny class |
Conductor |
1450 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
216 |
Modular degree for the optimal curve |
Δ |
-145000 = -1 · 23 · 54 · 29 |
Discriminant |
Eigenvalues |
2- -2 5- 2 -6 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[6:14:1] |
Generators of the group modulo torsion |
j |
304175/232 |
j-invariant |
L |
2.9779309195123 |
L(r)(E,1)/r! |
Ω |
1.8210050378176 |
Real period |
R |
1.6353227243573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
11600bb1 46400bi1 13050s1 1450c1 |
Quadratic twists by: -4 8 -3 5 |