Atkin-Lehner |
2- 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55760w |
Isogeny class |
Conductor |
55760 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
174250000 = 24 · 56 · 17 · 41 |
Discriminant |
Eigenvalues |
2- -1 5- 1 0 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-450,-3473] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:5:1] |
Generators of the group modulo torsion |
j |
631256717056/10890625 |
j-invariant |
L |
5.5803451383254 |
L(r)(E,1)/r! |
Ω |
1.0374581273358 |
Real period |
R |
0.89647716718076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13940g1 |
Quadratic twists by: -4 |