Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84050c |
Isogeny class |
Conductor |
84050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
897600 |
Modular degree for the optimal curve |
Δ |
-88218880000000000 = -1 · 217 · 510 · 413 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 4 -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9075,-14297875] |
[a1,a2,a3,a4,a6] |
Generators |
[115036517535619007:14423634063332970341:7259687665147] |
Generators of the group modulo torsion |
j |
-122825/131072 |
j-invariant |
L |
8.4594172458081 |
L(r)(E,1)/r! |
Ω |
0.15344088914558 |
Real period |
R |
27.5657202357 |
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 |
84050q1 84050e1 |
Quadratic twists by: 5 41 |