Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176d |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-208900187136 = -1 · 210 · 36 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 2 -5 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1587,-32798] |
[a1,a2,a3,a4,a6] |
Generators |
[147:1706:1] |
Generators of the group modulo torsion |
j |
-2116 |
j-invariant |
L |
6.584501464354 |
L(r)(E,1)/r! |
Ω |
0.36982840141379 |
Real period |
R |
4.4510517850014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989761 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38088a1 8464i1 76176e1 |
Quadratic twists by: -4 -3 -23 |