Atkin-Lehner |
2- 5+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
80560h |
Isogeny class |
Conductor |
80560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-21118320640 = -1 · 222 · 5 · 19 · 53 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -3 -3 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1016,-14636] |
[a1,a2,a3,a4,a6] |
Generators |
[70:512:1] |
Generators of the group modulo torsion |
j |
-28344726649/5155840 |
j-invariant |
L |
2.2983066235125 |
L(r)(E,1)/r! |
Ω |
0.41863721788604 |
Real period |
R |
1.3724930121533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948175 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10070c1 |
Quadratic twists by: -4 |