Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568z |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-7212022272 = -1 · 29 · 35 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 13+ 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,48,-4068] |
[a1,a2,a3,a4,a6] |
j |
138424/83349 |
j-invariant |
L |
3.0951617950107 |
L(r)(E,1)/r! |
Ω |
0.61903247292839 |
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 |
113568by1 113568ct1 |
Quadratic twists by: -4 13 |