Atkin-Lehner |
2- 3+ 11+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31746y |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6420864341034 = 2 · 32 · 114 · 13 · 374 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4699,20591] |
[a1,a2,a3,a4,a6] |
j |
11474818465187377/6420864341034 |
j-invariant |
L |
2.6009891931697 |
L(r)(E,1)/r! |
Ω |
0.65024729829353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95238bp3 |
Quadratic twists by: -3 |