Atkin-Lehner |
2+ 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59094w |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-18390400745472 = -1 · 214 · 36 · 73 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3204,193360] |
[a1,a2,a3,a4,a6] |
Generators |
[-306:1091:8] |
Generators of the group modulo torsion |
j |
14544652121/73547776 |
j-invariant |
L |
5.5675074258123 |
L(r)(E,1)/r! |
Ω |
0.49563114179007 |
Real period |
R |
2.8082917699483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000244 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6566l1 59094y1 |
Quadratic twists by: -3 -7 |