Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400jk |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
73789452800000000 = 215 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 6 -4 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171500,-24010000] |
[a1,a2,a3,a4,a6] |
Generators |
[-250:1800:1] |
Generators of the group modulo torsion |
j |
7560 |
j-invariant |
L |
5.8064459939117 |
L(r)(E,1)/r! |
Ω |
0.23665284638211 |
Real period |
R |
2.0446426350717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400jl1 39200cj1 78400fx1 78400kf1 |
Quadratic twists by: -4 8 5 -7 |