Atkin-Lehner |
2- 5- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
92560m |
Isogeny class |
Conductor |
92560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-42646491889664000 = -1 · 227 · 53 · 134 · 89 |
Discriminant |
Eigenvalues |
2- -1 5- 2 -5 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-192720,34110400] |
[a1,a2,a3,a4,a6] |
Generators |
[210:-1690:1] |
Generators of the group modulo torsion |
j |
-193261959523187281/10411741184000 |
j-invariant |
L |
5.510185727317 |
L(r)(E,1)/r! |
Ω |
0.35673268853307 |
Real period |
R |
1.2871883032517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11570f1 |
Quadratic twists by: -4 |