Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298cm |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2036736 |
Modular degree for the optimal curve |
Δ |
2857711516353441792 = 212 · 319 · 114 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11- 6 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1103180,438778959] |
[a1,a2,a3,a4,a6] |
Generators |
[257:12993:1] |
Generators of the group modulo torsion |
j |
13911187791015625/267744227328 |
j-invariant |
L |
9.9929475486062 |
L(r)(E,1)/r! |
Ω |
0.25453194947283 |
Real period |
R |
0.81791856536353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29766c1 89298l1 |
Quadratic twists by: -3 -11 |