Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
5640g |
Isogeny class |
Conductor |
5640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-1973548800 = -1 · 28 · 38 · 52 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,284,1184] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:30:1] |
Generators of the group modulo torsion |
j |
9860720816/7709175 |
j-invariant |
L |
4.4527189090942 |
L(r)(E,1)/r! |
Ω |
0.94803280659371 |
Real period |
R |
1.1741995841612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11280c1 45120g1 16920h1 28200a1 |
Quadratic twists by: -4 8 -3 5 |