Atkin-Lehner |
2- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
24400x |
Isogeny class |
Conductor |
24400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-249856000 = -1 · 215 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 2 5- 2 -2 -5 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32,-768] |
[a1,a2,a3,a4,a6] |
Generators |
[42:270:1] |
Generators of the group modulo torsion |
j |
6859/488 |
j-invariant |
L |
7.8975017031861 |
L(r)(E,1)/r! |
Ω |
0.8352804869535 |
Real period |
R |
2.3637274623733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3050l1 97600cv1 24400ba1 |
Quadratic twists by: -4 8 5 |