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 |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
551346432 = 28 · 3 · 74 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-364,2548] |
[a1,a2,a3,a4,a6] |
j |
20892021712/2153697 |
j-invariant |
L |
1.5927769076977 |
L(r)(E,1)/r! |
Ω |
1.5927769081391 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100464u1 |
Quadratic twists by: -4 |