Atkin-Lehner |
2- 5- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
80560q |
Isogeny class |
Conductor |
80560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-3635270000 = -1 · 24 · 54 · 193 · 53 |
Discriminant |
Eigenvalues |
2- -3 5- -4 3 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-217,3151] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-95:1] |
Generators of the group modulo torsion |
j |
-70628979456/227204375 |
j-invariant |
L |
3.5876254453951 |
L(r)(E,1)/r! |
Ω |
1.2310693111159 |
Real period |
R |
0.24285292853851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20140d1 |
Quadratic twists by: -4 |