Atkin-Lehner |
2+ 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59094u |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
504573754035456 = 28 · 36 · 79 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 4 3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24705,-1026243] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:195:1] |
Generators of the group modulo torsion |
j |
19443408769/5883136 |
j-invariant |
L |
4.7072983576807 |
L(r)(E,1)/r! |
Ω |
0.38973974625617 |
Real period |
R |
1.5097569606311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6566i1 8442a1 |
Quadratic twists by: -3 -7 |