Atkin-Lehner |
2+ 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31434g |
Isogeny class |
Conductor |
31434 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-829124662254954 = -1 · 2 · 3 · 136 · 315 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 3 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-235759,-44101900] |
[a1,a2,a3,a4,a6] |
j |
-300238092661681/171774906 |
j-invariant |
L |
2.7081818005041 |
L(r)(E,1)/r! |
Ω |
0.10832727202019 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94302bw2 186b2 |
Quadratic twists by: -3 13 |