Atkin-Lehner |
2- 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
52560x |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
2179768320 = 213 · 36 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-603,-5238] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:10:1] [-11:8:1] |
Generators of the group modulo torsion |
j |
8120601/730 |
j-invariant |
L |
9.2007984861997 |
L(r)(E,1)/r! |
Ω |
0.96896630399804 |
Real period |
R |
2.3738695680737 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6570v1 5840m1 |
Quadratic twists by: -4 -3 |