Atkin-Lehner |
2+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
84280d |
Isogeny class |
Conductor |
84280 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-63458929408000 = -1 · 211 · 53 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 6 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1944,-381200] |
[a1,a2,a3,a4,a6] |
Generators |
[451870650:9936017755:941192] |
Generators of the group modulo torsion |
j |
68782/5375 |
j-invariant |
L |
4.5650912749261 |
L(r)(E,1)/r! |
Ω |
0.29575032328388 |
Real period |
R |
15.435625647337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84280m1 |
Quadratic twists by: -7 |