Atkin-Lehner |
2- 3- 7- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822bt |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-5249823516 = -1 · 22 · 38 · 7 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-716,8331] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:735:8] |
Generators of the group modulo torsion |
j |
-55611739513/7201404 |
j-invariant |
L |
9.4132632242257 |
L(r)(E,1)/r! |
Ω |
1.3186639155435 |
Real period |
R |
1.7846213720117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274i1 |
Quadratic twists by: -3 |