Atkin-Lehner |
2+ 3+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50232b |
Isogeny class |
Conductor |
50232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4237184142318726144 = -1 · 210 · 324 · 72 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,135408,97117020] |
[a1,a2,a3,a4,a6] |
Generators |
[-368686698825:-6883642607508:1242296875] |
Generators of the group modulo torsion |
j |
268135007460046268/4137875138983131 |
j-invariant |
L |
5.1040808487192 |
L(r)(E,1)/r! |
Ω |
0.18289958092479 |
Real period |
R |
13.953232759989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100464q3 |
Quadratic twists by: -4 |