Atkin-Lehner |
11- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114103b |
Isogeny class |
Conductor |
114103 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
12864 |
Modular degree for the optimal curve |
Δ |
13806463 = 114 · 23 · 41 |
Discriminant |
Eigenvalues |
-1 -1 0 0 11- 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-63,-98] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:13:1] |
Generators of the group modulo torsion |
j |
1890625/943 |
j-invariant |
L |
3.1512863253638 |
L(r)(E,1)/r! |
Ω |
1.784325714032 |
Real period |
R |
0.58869789156389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998991594 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114103c1 |
Quadratic twists by: -11 |