Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290t |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
284256 |
Modular degree for the optimal curve |
Δ |
-273436041032000 = -1 · 26 · 53 · 710 · 112 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32463,-2401307] |
[a1,a2,a3,a4,a6] |
Generators |
[966:28993:1] |
Generators of the group modulo torsion |
j |
-110699281/8000 |
j-invariant |
L |
2.1029442864879 |
L(r)(E,1)/r! |
Ω |
0.17709984740982 |
Real period |
R |
5.937171367389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000318 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290bf1 59290dc1 |
Quadratic twists by: -7 -11 |