Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
78200b |
Isogeny class |
Conductor |
78200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-21976643750000 = -1 · 24 · 58 · 172 · 233 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 -2 -5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5492,164113] |
[a1,a2,a3,a4,a6] |
Generators |
[3:425:1] |
Generators of the group modulo torsion |
j |
73264941824/87906575 |
j-invariant |
L |
5.5200297061732 |
L(r)(E,1)/r! |
Ω |
0.45393493888197 |
Real period |
R |
1.5200498000057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15640i1 |
Quadratic twists by: 5 |