Atkin-Lehner |
2- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84050q |
Isogeny class |
Conductor |
84050 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
179520 |
Modular degree for the optimal curve |
Δ |
-5646008320000 = -1 · 217 · 54 · 413 |
Discriminant |
Eigenvalues |
2- -2 5- -3 4 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-363,-114383] |
[a1,a2,a3,a4,a6] |
Generators |
[222:-3391:1] |
Generators of the group modulo torsion |
j |
-122825/131072 |
j-invariant |
L |
5.6480063455851 |
L(r)(E,1)/r! |
Ω |
0.34310425865752 |
Real period |
R |
0.16138712884269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84050c1 84050p1 |
Quadratic twists by: 5 41 |