Atkin-Lehner |
2- 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
42656f |
Isogeny class |
Conductor |
42656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
682496 = 29 · 31 · 43 |
Discriminant |
Eigenvalues |
2- -2 3 -2 1 -1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64,-216] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:2:1] |
Generators of the group modulo torsion |
j |
57512456/1333 |
j-invariant |
L |
4.5681066734906 |
L(r)(E,1)/r! |
Ω |
1.6881209381344 |
Real period |
R |
1.3530152284427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42656e1 85312y1 |
Quadratic twists by: -4 8 |