Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
55470v |
Isogeny class |
Conductor |
55470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
11094000 = 24 · 3 · 53 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 1 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-146,-721] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:7:1] |
Generators of the group modulo torsion |
j |
186222121/6000 |
j-invariant |
L |
6.2868115037788 |
L(r)(E,1)/r! |
Ω |
1.3761097889076 |
Real period |
R |
1.1421347981217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55470l1 |
Quadratic twists by: -43 |