Atkin-Lehner |
2- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
53600k |
Isogeny class |
Conductor |
53600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-107200 = -1 · 26 · 52 · 67 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18,28] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:8:1] [2:2:1] |
Generators of the group modulo torsion |
j |
-425920/67 |
j-invariant |
L |
6.5537842173104 |
L(r)(E,1)/r! |
Ω |
3.2270252780967 |
Real period |
R |
1.0154528788163 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53600l1 107200cp1 53600j1 |
Quadratic twists by: -4 8 5 |