Atkin-Lehner |
2- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
62560k |
Isogeny class |
Conductor |
62560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-5004800 = -1 · 29 · 52 · 17 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 -4 0 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,116] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:10:1] [1:10:1] |
Generators of the group modulo torsion |
j |
-941192/9775 |
j-invariant |
L |
6.2676828828401 |
L(r)(E,1)/r! |
Ω |
2.0693082810198 |
Real period |
R |
0.75721956708032 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62560n1 125120co1 |
Quadratic twists by: -4 8 |