Atkin-Lehner |
3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31605k |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
23040045 = 37 · 5 · 72 · 43 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 2 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1885,32136] |
[a1,a2,a3,a4,a6] |
j |
15124884619264/470205 |
j-invariant |
L |
1.9933263270273 |
L(r)(E,1)/r! |
Ω |
1.9933263270277 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94815q1 31605o1 |
Quadratic twists by: -3 -7 |