Atkin-Lehner |
2+ 3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150n |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
108450468750 = 2 · 3 · 57 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4250,-107250] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:30:1] |
Generators of the group modulo torsion |
j |
543538277281/6940830 |
j-invariant |
L |
3.9621020713507 |
L(r)(E,1)/r! |
Ω |
0.59173122796659 |
Real period |
R |
1.6739449788055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bl2 |
Quadratic twists by: 5 |