Atkin-Lehner |
2+ 3- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
114192f |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
324992259072 = 210 · 38 · 13 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1947,-18470] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:54:1] [-19:108:1] |
Generators of the group modulo torsion |
j |
1093437796/435357 |
j-invariant |
L |
9.8909654090294 |
L(r)(E,1)/r! |
Ω |
0.74382167469892 |
Real period |
R |
1.6621869441781 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57096d2 38064i2 |
Quadratic twists by: -4 -3 |