Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112800ce |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-72659488320000000 = -1 · 212 · 37 · 57 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 2 1 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,65967,11232063] |
[a1,a2,a3,a4,a6] |
Generators |
[3543:211500:1] [-81:2316:1] |
Generators of the group modulo torsion |
j |
496040751296/1135304505 |
j-invariant |
L |
13.272486153127 |
L(r)(E,1)/r! |
Ω |
0.24036777794873 |
Real period |
R |
0.32867505959987 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112800bn1 22560a1 |
Quadratic twists by: -4 5 |