Atkin-Lehner |
2- 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
110110br |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
699118628848640 = 210 · 5 · 72 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28861,-1405997] |
[a1,a2,a3,a4,a6] |
Generators |
[367:5948:1] |
Generators of the group modulo torsion |
j |
1500730351849/394634240 |
j-invariant |
L |
13.828133509127 |
L(r)(E,1)/r! |
Ω |
0.37344550043027 |
Real period |
R |
3.7028518089306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010c1 |
Quadratic twists by: -11 |