Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950bb |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-54601250000000000 = -1 · 210 · 513 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 1 5+ 5 11- 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-88751,15156898] |
[a1,a2,a3,a4,a6] |
Generators |
[2167:98916:1] |
Generators of the group modulo torsion |
j |
-40891312173481/28880000000 |
j-invariant |
L |
8.1715326554473 |
L(r)(E,1)/r! |
Ω |
0.32596797143491 |
Real period |
R |
1.5667821247781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22990bk1 114950cg1 |
Quadratic twists by: 5 -11 |