Atkin-Lehner |
2- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87232l |
Isogeny class |
Conductor |
87232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22016 |
Modular degree for the optimal curve |
Δ |
-5582848 = -1 · 212 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 2 0 1 3 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1193,16265] |
[a1,a2,a3,a4,a6] |
j |
-45882712000/1363 |
j-invariant |
L |
4.4813148736763 |
L(r)(E,1)/r! |
Ω |
2.2406574576098 |
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 |
87232o1 43616d1 |
Quadratic twists by: -4 8 |