Atkin-Lehner |
2- 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
114840z |
Isogeny class |
Conductor |
114840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-64295700480 = -1 · 211 · 39 · 5 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1083,18358] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:126:1] |
Generators of the group modulo torsion |
j |
-94091762/43065 |
j-invariant |
L |
6.0760903535416 |
L(r)(E,1)/r! |
Ω |
1.0315103817322 |
Real period |
R |
2.9452395565072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38280l1 |
Quadratic twists by: -3 |