Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600bq |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6782976 |
Modular degree for the optimal curve |
Δ |
3017960000000000 = 212 · 510 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-392963675,2998311314250] |
[a1,a2,a3,a4,a6] |
Generators |
[141970:10161875:8] |
Generators of the group modulo torsion |
j |
104857852278310619039721/47155625 |
j-invariant |
L |
5.4923478450537 |
L(r)(E,1)/r! |
Ω |
0.19070965270284 |
Real period |
R |
7.1998818171024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5225b1 16720bh1 |
Quadratic twists by: -4 5 |