Atkin-Lehner |
2+ 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150d |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
225468750 = 2 · 3 · 57 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1924000,-1028003750] |
[a1,a2,a3,a4,a6] |
Generators |
[188820:8724365:64] |
Generators of the group modulo torsion |
j |
50410295346257533441/14430 |
j-invariant |
L |
4.8163295792832 |
L(r)(E,1)/r! |
Ω |
0.12818826171342 |
Real period |
R |
9.3930784219762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999992353 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430br3 |
Quadratic twists by: 5 |