Atkin-Lehner |
2+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
38896c |
Isogeny class |
Conductor |
38896 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-500188554950656 = -1 · 211 · 113 · 133 · 174 |
Discriminant |
Eigenvalues |
2+ 2 1 -1 11+ 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13520,1239008] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:1326:1] |
Generators of the group modulo torsion |
j |
-133461486156962/244232692847 |
j-invariant |
L |
8.7513365601132 |
L(r)(E,1)/r! |
Ω |
0.46715616514437 |
Real period |
R |
0.7805505964484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19448e1 |
Quadratic twists by: -4 |