Atkin-Lehner |
2- 3- 7- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822br |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
24087341667336192 = 214 · 316 · 72 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-653315,203276675] |
[a1,a2,a3,a4,a6] |
Generators |
[411:1810:1] |
Generators of the group modulo torsion |
j |
42302248243050363625/33041620942848 |
j-invariant |
L |
11.244240402087 |
L(r)(E,1)/r! |
Ω |
0.37584309868136 |
Real period |
R |
1.0684778178039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274w1 |
Quadratic twists by: -3 |