Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950w |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
739200 |
Modular degree for the optimal curve |
Δ |
-8145637478000000 = -1 · 27 · 56 · 118 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 11- -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14558,4285716] |
[a1,a2,a3,a4,a6] |
Generators |
[19:2128:1] |
Generators of the group modulo torsion |
j |
101871/2432 |
j-invariant |
L |
2.4606164120433 |
L(r)(E,1)/r! |
Ω |
0.31089674901944 |
Real period |
R |
3.9572886707365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000189857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598r1 114950ca1 |
Quadratic twists by: 5 -11 |