Atkin-Lehner |
2+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
46256t |
Isogeny class |
Conductor |
46256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-14215763968 = -1 · 211 · 76 · 59 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- -1 1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,376,4880] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:36:1] |
Generators of the group modulo torsion |
j |
24334/59 |
j-invariant |
L |
7.217814768152 |
L(r)(E,1)/r! |
Ω |
0.87330874173027 |
Real period |
R |
2.0662265311392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23128i1 944c1 |
Quadratic twists by: -4 -7 |