Atkin-Lehner |
2- 3- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
57936z |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
20430477949796352 = 217 · 317 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 1 -5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69568,1585460] |
[a1,a2,a3,a4,a6] |
Generators |
[-268:1026:1] [-214:2592:1] |
Generators of the group modulo torsion |
j |
9090725854002625/4987909655712 |
j-invariant |
L |
10.530221895911 |
L(r)(E,1)/r! |
Ω |
0.33398307004677 |
Real period |
R |
0.46366483286081 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7242i1 |
Quadratic twists by: -4 |