Atkin-Lehner |
2+ 3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150bf |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
325351406250 = 2 · 32 · 57 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12251,520148] |
[a1,a2,a3,a4,a6] |
Generators |
[72:76:1] |
Generators of the group modulo torsion |
j |
13012697849761/20822490 |
j-invariant |
L |
5.7764645871322 |
L(r)(E,1)/r! |
Ω |
0.96386382516937 |
Real period |
R |
1.4982574394513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bb2 |
Quadratic twists by: 5 |