Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
36400bn |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
2087321600000000000 = 226 · 511 · 72 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 4 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-458008,-97116012] |
[a1,a2,a3,a4,a6] |
Generators |
[1172:31262:1] |
Generators of the group modulo torsion |
j |
166021325905681/32614400000 |
j-invariant |
L |
4.2253229273566 |
L(r)(E,1)/r! |
Ω |
0.18603334661834 |
Real period |
R |
5.6781794825528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4550j1 7280v1 |
Quadratic twists by: -4 5 |