Atkin-Lehner |
2- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14350m |
Isogeny class |
Conductor |
14350 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
514304000000 = 214 · 56 · 72 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -2 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2113,14217] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:219:1] [-22:235:1] |
Generators of the group modulo torsion |
j |
66775173193/32915456 |
j-invariant |
L |
6.9041986184498 |
L(r)(E,1)/r! |
Ω |
0.82367219365085 |
Real period |
R |
0.29936487353614 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114800bs1 129150t1 574c1 100450bw1 |
Quadratic twists by: -4 -3 5 -7 |