Atkin-Lehner |
2+ 3- 7- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
39858j |
Isogeny class |
Conductor |
39858 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-1984913767968768 = -1 · 212 · 34 · 7 · 133 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 3 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12771,-2215394] |
[a1,a2,a3,a4,a6] |
Generators |
[383:-7200:1] |
Generators of the group modulo torsion |
j |
-230329487808771625/1984913767968768 |
j-invariant |
L |
5.6713578345052 |
L(r)(E,1)/r! |
Ω |
0.19703915845493 |
Real period |
R |
0.39976246056979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119574bk2 |
Quadratic twists by: -3 |