Atkin-Lehner |
2+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
80960c |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-15254159360 = -1 · 219 · 5 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 11+ 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-481,7039] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:92:1] |
Generators of the group modulo torsion |
j |
-47045881/58190 |
j-invariant |
L |
5.2549821915089 |
L(r)(E,1)/r! |
Ω |
1.125253538354 |
Real period |
R |
1.167510701173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960br1 2530c1 |
Quadratic twists by: -4 8 |