Atkin-Lehner |
2- 3+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113100d |
Isogeny class |
Conductor |
113100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-17711460000000 = -1 · 28 · 34 · 57 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6492,19512] |
[a1,a2,a3,a4,a6] |
j |
7563666224/4427865 |
j-invariant |
L |
3.3489989542427 |
L(r)(E,1)/r! |
Ω |
0.41862493511005 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620l2 |
Quadratic twists by: 5 |