Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101920v |
Isogeny class |
Conductor |
101920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
795307240000 = 26 · 54 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10633,-419832] |
[a1,a2,a3,a4,a6] |
Generators |
[4169:269100:1] |
Generators of the group modulo torsion |
j |
17657244864/105625 |
j-invariant |
L |
6.0140444727303 |
L(r)(E,1)/r! |
Ω |
0.47031850951491 |
Real period |
R |
6.393586867349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999682723 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101920w1 2080e1 |
Quadratic twists by: -4 -7 |