Atkin-Lehner |
3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
31605x |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
34272 |
Modular degree for the optimal curve |
Δ |
836616745125 = 33 · 53 · 78 · 43 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 0 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2515,19681] |
[a1,a2,a3,a4,a6] |
j |
305299456/145125 |
j-invariant |
L |
2.3846107663931 |
L(r)(E,1)/r! |
Ω |
0.79487025546474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
94815i1 31605e1 |
Quadratic twists by: -3 -7 |