Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952gn |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
917504 |
Modular degree for the optimal curve |
Δ |
-18435769401176064 = -1 · 212 · 38 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -6 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31899,-6890870] |
[a1,a2,a3,a4,a6] |
Generators |
[645:15520:1] |
Generators of the group modulo torsion |
j |
-29791/153 |
j-invariant |
L |
6.7941467082753 |
L(r)(E,1)/r! |
Ω |
0.16104199194618 |
Real period |
R |
5.2735832140461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999181705 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7497p1 39984dh1 119952fi1 |
Quadratic twists by: -4 -3 -7 |