Atkin-Lehner |
2- 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
15170l |
Isogeny class |
Conductor |
15170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5897053062500 = 22 · 56 · 372 · 413 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1470411,-686410259] |
[a1,a2,a3,a4,a6] |
Generators |
[-8631549051510:4311065597063:12326391000] |
Generators of the group modulo torsion |
j |
351592789138457177437489/5897053062500 |
j-invariant |
L |
5.0242841658213 |
L(r)(E,1)/r! |
Ω |
0.13710076176292 |
Real period |
R |
18.323326950253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121360s4 75850a4 |
Quadratic twists by: -4 5 |