Atkin-Lehner |
2+ 11- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
119306h |
Isogeny class |
Conductor |
119306 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
137280 |
Modular degree for the optimal curve |
Δ |
-237559243856 = -1 · 24 · 116 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 1 -3 2 11- 3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,965,-20330] |
[a1,a2,a3,a4,a6] |
Generators |
[35:220:1] |
Generators of the group modulo torsion |
j |
56181887/134096 |
j-invariant |
L |
3.9920073212749 |
L(r)(E,1)/r! |
Ω |
0.51198682596039 |
Real period |
R |
1.9492724749009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
986d1 |
Quadratic twists by: -11 |