Atkin-Lehner |
2- 5- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
58960r |
Isogeny class |
Conductor |
58960 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-14332380875816960 = -1 · 215 · 5 · 117 · 672 |
Discriminant |
Eigenvalues |
2- -1 5- -1 11- -4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40400,-6539840] |
[a1,a2,a3,a4,a6] |
Generators |
[552:-11792:1] |
Generators of the group modulo torsion |
j |
-1780404196683601/3499116424760 |
j-invariant |
L |
4.1808634226144 |
L(r)(E,1)/r! |
Ω |
0.15831118213047 |
Real period |
R |
0.47159192671103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7370i1 |
Quadratic twists by: -4 |