Atkin-Lehner |
2+ 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192b |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
187392 |
Modular degree for the optimal curve |
Δ |
-70230294411264 = -1 · 211 · 39 · 134 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -1 0 2 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15363,836514] |
[a1,a2,a3,a4,a6] |
Generators |
[109:676:1] [69:324:1] |
Generators of the group modulo torsion |
j |
-9947880486/1742221 |
j-invariant |
L |
11.546254612879 |
L(r)(E,1)/r! |
Ω |
0.59273551038642 |
Real period |
R |
1.2174754180363 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57096a1 114192a1 |
Quadratic twists by: -4 -3 |