Atkin-Lehner |
2+ 3- 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650bi |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5432824603869375000 = 23 · 3 · 57 · 238 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-737751,216528898] |
[a1,a2,a3,a4,a6] |
Generators |
[663176:19059709:512] |
Generators of the group modulo torsion |
j |
2842053574740812641/347700774647640 |
j-invariant |
L |
6.2372788116485 |
L(r)(E,1)/r! |
Ω |
0.23284654628229 |
Real period |
R |
6.6967696965084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530z3 |
Quadratic twists by: 5 |