Atkin-Lehner |
7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10241b |
Isogeny class |
Conductor |
10241 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4752 |
Modular degree for the optimal curve |
Δ |
-1992683539 = -1 · 74 · 112 · 193 |
Discriminant |
Eigenvalues |
0 -2 3 7+ 11+ 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,131,-2026] |
[a1,a2,a3,a4,a6] |
j |
102760448/829939 |
j-invariant |
L |
1.4631653887375 |
L(r)(E,1)/r! |
Ω |
0.73158269436873 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
92169i1 10241c1 112651a1 |
Quadratic twists by: -3 -7 -11 |