Atkin-Lehner |
2- 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
50470i |
Isogeny class |
Conductor |
50470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-194568029143040 = -1 · 216 · 5 · 78 · 103 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -2 4 8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,14454,-49001] |
[a1,a2,a3,a4,a6] |
Generators |
[41:763:1] |
Generators of the group modulo torsion |
j |
2838557821679/1653800960 |
j-invariant |
L |
6.6892847679323 |
L(r)(E,1)/r! |
Ω |
0.33437022738291 |
Real period |
R |
0.62517572402927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7210j1 |
Quadratic twists by: -7 |