Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200q |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-611398323200 = -1 · 210 · 52 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 0 -4 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2072,-9212] |
[a1,a2,a3,a4,a6] |
Generators |
[42:392:1] |
Generators of the group modulo torsion |
j |
38409918140/23882747 |
j-invariant |
L |
6.9973831345419 |
L(r)(E,1)/r! |
Ω |
0.52762050645777 |
Real period |
R |
0.47364827089806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40600q1 81200v1 |
Quadratic twists by: -4 5 |