Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53900u |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
24147200 = 28 · 52 · 73 · 11 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- -3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93,223] |
[a1,a2,a3,a4,a6] |
Generators |
[9:14:1] [-3:22:1] |
Generators of the group modulo torsion |
j |
40960/11 |
j-invariant |
L |
7.1271019423162 |
L(r)(E,1)/r! |
Ω |
1.9888909590169 |
Real period |
R |
0.59724255788623 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53900bi1 53900t1 |
Quadratic twists by: 5 -7 |