Atkin-Lehner |
2- 3- 5+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830cd |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
4969871769600 = 216 · 37 · 52 · 19 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20273,1110881] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:792:1] [-105:1492:1] |
Generators of the group modulo torsion |
j |
1263950777455561/6817382400 |
j-invariant |
L |
14.854367781704 |
L(r)(E,1)/r! |
Ω |
0.7724305146765 |
Real period |
R |
0.60095890096703 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610t1 |
Quadratic twists by: -3 |