Atkin-Lehner |
3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60333h |
Isogeny class |
Conductor |
60333 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2637457517331 = -1 · 33 · 76 · 132 · 173 |
Discriminant |
Eigenvalues |
0 3- -3 7+ 0 13+ 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,3103,-39958] |
[a1,a2,a3,a4,a6] |
Generators |
[52:-515:1] [18:148:1] |
Generators of the group modulo torsion |
j |
19545301188608/15606257499 |
j-invariant |
L |
8.1168650705528 |
L(r)(E,1)/r! |
Ω |
0.44986976539373 |
Real period |
R |
3.0071166127588 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60333m2 |
Quadratic twists by: 13 |