Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
64400r |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-1851500000000 = -1 · 28 · 59 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 3 -3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5033,150563] |
[a1,a2,a3,a4,a6] |
Generators |
[38:125:1] |
Generators of the group modulo torsion |
j |
-3525581824/462875 |
j-invariant |
L |
7.3512938874179 |
L(r)(E,1)/r! |
Ω |
0.80854441372319 |
Real period |
R |
1.1365012487741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000452 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32200n1 12880a1 |
Quadratic twists by: -4 5 |