Atkin-Lehner |
3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
60333d |
Isogeny class |
Conductor |
60333 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
30045614686950681 = 32 · 72 · 138 · 174 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-278684,55892595] |
[a1,a2,a3,a4,a6] |
Generators |
[-1474:81147:8] |
Generators of the group modulo torsion |
j |
495909170514577/6224736609 |
j-invariant |
L |
8.5052754923295 |
L(r)(E,1)/r! |
Ω |
0.37319348624612 |
Real period |
R |
5.6976312596418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997733 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4641b2 |
Quadratic twists by: 13 |