Atkin-Lehner |
3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31605z |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
746668125 = 34 · 54 · 73 · 43 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1573,-24097] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:17:1] |
Generators of the group modulo torsion |
j |
1253772718687/2176875 |
j-invariant |
L |
8.95448794725 |
L(r)(E,1)/r! |
Ω |
0.75822088956868 |
Real period |
R |
1.4762333889837 |
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 |
94815v2 31605f2 |
Quadratic twists by: -3 -7 |