Atkin-Lehner |
2- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
46256x |
Isogeny class |
Conductor |
46256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27072 |
Modular degree for the optimal curve |
Δ |
-37135056896 = -1 · 218 · 74 · 59 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 0 2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,768,4096] |
[a1,a2,a3,a4,a6] |
Generators |
[0:64:1] |
Generators of the group modulo torsion |
j |
5087327/3776 |
j-invariant |
L |
2.9685372946638 |
L(r)(E,1)/r! |
Ω |
0.73746684472078 |
Real period |
R |
1.0063290695442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999782 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5782e1 46256bb1 |
Quadratic twists by: -4 -7 |