Atkin-Lehner |
2- 3+ 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
79950bp |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
947232 |
Modular degree for the optimal curve |
Δ |
-81699176033280000 = -1 · 213 · 311 · 54 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -5 13+ -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16413,-13782669] |
[a1,a2,a3,a4,a6] |
j |
-782364718067425/130718681653248 |
j-invariant |
L |
1.9799349713454 |
L(r)(E,1)/r! |
Ω |
0.15230269209707 |
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 |
79950x1 |
Quadratic twists by: 5 |