Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
66600v |
Isogeny class |
Conductor |
66600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3539397060000000000 = -1 · 211 · 314 · 510 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,203325,-83353250] |
[a1,a2,a3,a4,a6] |
Generators |
[158080589548:833323236633:535387328] |
Generators of the group modulo torsion |
j |
39849102862/151723125 |
j-invariant |
L |
8.4390317980032 |
L(r)(E,1)/r! |
Ω |
0.12690850914158 |
Real period |
R |
16.624243431203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22200u3 13320o4 |
Quadratic twists by: -3 5 |