Atkin-Lehner |
3+ 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35175r |
Isogeny class |
Conductor |
35175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.0905515559424E+19 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25687790,-50122047975] |
[a1,a2,a3,a4,a6] |
Generators |
[248703441488789506043438338:-25477291429453167880828868625:19552328305439739323032] |
Generators of the group modulo torsion |
j |
14996639512077091530095069/87244124475388923 |
j-invariant |
L |
5.7542499875348 |
L(r)(E,1)/r! |
Ω |
0.067060690134763 |
Real period |
R |
42.903301292986 |
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 |
105525bo2 35175bc2 |
Quadratic twists by: -3 5 |