Atkin-Lehner |
2+ 3+ 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50232a |
Isogeny class |
Conductor |
50232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4224426006528 = -1 · 211 · 34 · 7 · 13 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2296,-90132] |
[a1,a2,a3,a4,a6] |
j |
653311412206/2062708011 |
j-invariant |
L |
1.5927769076977 |
L(r)(E,1)/r! |
Ω |
0.39819422703479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100464u3 |
Quadratic twists by: -4 |