Atkin-Lehner |
5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
50225q |
Isogeny class |
Conductor |
50225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-646288237109375 = -1 · 58 · 79 · 41 |
Discriminant |
Eigenvalues |
1 1 5- 7- 6 1 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,20799,405423] |
[a1,a2,a3,a4,a6] |
j |
21653735/14063 |
j-invariant |
L |
3.839632837975 |
L(r)(E,1)/r! |
Ω |
0.31996940315204 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50225k1 7175f1 |
Quadratic twists by: 5 -7 |