Atkin-Lehner |
2+ 3- 5+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
64890o |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1182620250000 = 24 · 38 · 56 · 7 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4635,-108459] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:86:1] |
Generators of the group modulo torsion |
j |
15107691357361/1622250000 |
j-invariant |
L |
3.498542613452 |
L(r)(E,1)/r! |
Ω |
0.58263036618128 |
Real period |
R |
1.5011844626041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630bh1 |
Quadratic twists by: -3 |