Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58812l |
Isogeny class |
Conductor |
58812 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-197843568 = -1 · 24 · 3 · 132 · 293 |
Discriminant |
Eigenvalues |
2- 3- 0 1 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-758,-8319] |
[a1,a2,a3,a4,a6] |
Generators |
[975:3043:27] |
Generators of the group modulo torsion |
j |
-17836000000/73167 |
j-invariant |
L |
8.3978339280136 |
L(r)(E,1)/r! |
Ω |
0.45477638476685 |
Real period |
R |
6.1552843766662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58812m2 |
Quadratic twists by: 13 |