Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176f |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11658240 |
Modular degree for the optimal curve |
Δ |
-3156777212489570304 = -1 · 211 · 39 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 -5 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-937309179,11045170357450] |
[a1,a2,a3,a4,a6] |
Generators |
[20102:571320:1] |
Generators of the group modulo torsion |
j |
-778918741604594/27 |
j-invariant |
L |
7.5658616799148 |
L(r)(E,1)/r! |
Ω |
0.13459033060755 |
Real period |
R |
2.3422502582705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38088t1 25392m1 76176q1 |
Quadratic twists by: -4 -3 -23 |