Atkin-Lehner |
13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
7943c |
Isogeny class |
Conductor |
7943 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9744 |
Modular degree for the optimal curve |
Δ |
-2949180299 = -1 · 137 · 47 |
Discriminant |
Eigenvalues |
-2 3 2 -2 3 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-169,2746] |
[a1,a2,a3,a4,a6] |
j |
-110592/611 |
j-invariant |
L |
2.4688456563805 |
L(r)(E,1)/r! |
Ω |
1.2344228281902 |
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 |
127088k1 71487l1 611a1 |
Quadratic twists by: -4 -3 13 |