Atkin-Lehner |
2+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20128a |
Isogeny class |
Conductor |
20128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
272640 |
Modular degree for the optimal curve |
Δ |
-294584388079616 = -1 · 212 · 175 · 373 |
Discriminant |
Eigenvalues |
2+ 0 -3 1 5 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1925884,1028711136] |
[a1,a2,a3,a4,a6] |
Generators |
[813:579:1] |
Generators of the group modulo torsion |
j |
-192865318814678591808/71920016621 |
j-invariant |
L |
4.0193341402314 |
L(r)(E,1)/r! |
Ω |
0.44280859254197 |
Real period |
R |
4.5384554499701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20128f1 40256c1 |
Quadratic twists by: -4 8 |