Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6050be |
Isogeny class |
Conductor |
6050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-53589720250000 = -1 · 24 · 56 · 118 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,9012,-121219] |
[a1,a2,a3,a4,a6] |
Generators |
[171:2455:1] |
Generators of the group modulo torsion |
j |
24167/16 |
j-invariant |
L |
7.3603041876012 |
L(r)(E,1)/r! |
Ω |
0.35888214540135 |
Real period |
R |
1.7090810734375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48400cm1 54450ca1 242b1 6050j1 |
Quadratic twists by: -4 -3 5 -11 |