Atkin-Lehner |
2- 3+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116058w |
Isogeny class |
Conductor |
116058 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1169280 |
Modular degree for the optimal curve |
Δ |
-36035750604058596 = -1 · 22 · 33 · 23 · 299 |
Discriminant |
Eigenvalues |
2- 3+ -3 0 -5 -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,34043,-8793265] |
[a1,a2,a3,a4,a6] |
Generators |
[247:3718:1] |
Generators of the group modulo torsion |
j |
300763/2484 |
j-invariant |
L |
4.1130116951832 |
L(r)(E,1)/r! |
Ω |
0.18164887149047 |
Real period |
R |
5.6606622968811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116058j1 |
Quadratic twists by: 29 |