Atkin-Lehner |
2- 5+ 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
86950v |
Isogeny class |
Conductor |
86950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28896 |
Modular degree for the optimal curve |
Δ |
-8173300 = -1 · 22 · 52 · 37 · 472 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 -6 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3,-139] |
[a1,a2,a3,a4,a6] |
j |
-121945/326932 |
j-invariant |
L |
4.2260868847924 |
L(r)(E,1)/r! |
Ω |
1.0565217330247 |
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 |
86950i1 |
Quadratic twists by: 5 |