Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10296l |
Isogeny class |
Conductor |
10296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-346934016 = -1 · 28 · 36 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 11+ 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2172,-38972] |
[a1,a2,a3,a4,a6] |
j |
-6072054784/1859 |
j-invariant |
L |
1.3986421717972 |
L(r)(E,1)/r! |
Ω |
0.34966054294931 |
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 |
20592l1 82368bp1 1144b1 113256m1 |
Quadratic twists by: -4 8 -3 -11 |