Atkin-Lehner |
3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34545j |
Isogeny class |
Conductor |
34545 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
104462247495703125 = 3 · 58 · 79 · 472 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -2 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-238925,-42275290] |
[a1,a2,a3,a4,a6] |
Generators |
[-232:973:1] |
Generators of the group modulo torsion |
j |
12820954817619649/887914453125 |
j-invariant |
L |
3.1072471581175 |
L(r)(E,1)/r! |
Ω |
0.21688201521854 |
Real period |
R |
0.89543131175101 |
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 |
103635p2 4935d2 |
Quadratic twists by: -3 -7 |