Atkin-Lehner |
2- 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96330de |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
18598660438800 = 24 · 3 · 52 · 138 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-848130,-300707148] |
[a1,a2,a3,a4,a6] |
Generators |
[-3595684146374688:1786264486185559:6764136726528] |
Generators of the group modulo torsion |
j |
13978188933715369/3853200 |
j-invariant |
L |
13.937514144457 |
L(r)(E,1)/r! |
Ω |
0.1573200054797 |
Real period |
R |
22.148349971716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410i1 |
Quadratic twists by: 13 |