Atkin-Lehner |
2- 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050bk |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-38058423603200 = -1 · 212 · 52 · 7 · 11 · 136 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8337,-43979] |
[a1,a2,a3,a4,a6] |
Generators |
[419:8578:1] |
Generators of the group modulo torsion |
j |
2563361470214375/1522336944128 |
j-invariant |
L |
6.7088918370632 |
L(r)(E,1)/r! |
Ω |
0.37915380924223 |
Real period |
R |
0.73726586166916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50050bc2 |
Quadratic twists by: 5 |