Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928ce |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-22740274368 = -1 · 26 · 36 · 75 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 2 -4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,708,250] |
[a1,a2,a3,a4,a6] |
Generators |
[3:49:1] |
Generators of the group modulo torsion |
j |
841232384/487403 |
j-invariant |
L |
3.6284146847565 |
L(r)(E,1)/r! |
Ω |
0.72207628037115 |
Real period |
R |
1.0049948479509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999359324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928do1 1827e1 12992r1 |
Quadratic twists by: -4 8 -3 |