Atkin-Lehner |
2- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84800bn |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-3473408000000 = -1 · 222 · 56 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 -4 1 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12033,-519937] |
[a1,a2,a3,a4,a6] |
Generators |
[127:128:1] [133:500:1] |
Generators of the group modulo torsion |
j |
-47045881/848 |
j-invariant |
L |
12.231773504975 |
L(r)(E,1)/r! |
Ω |
0.22767149157627 |
Real period |
R |
6.7156923228818 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800d1 21200q1 3392q1 |
Quadratic twists by: -4 8 5 |