Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10878bj |
Isogeny class |
Conductor |
10878 |
Conductor |
∏ cp |
69 |
Product of Tamagawa factors cp |
deg |
77280 |
Modular degree for the optimal curve |
Δ |
-5367810792357888 = -1 · 223 · 3 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 1 -1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-103293,13246449] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:4751:1] |
Generators of the group modulo torsion |
j |
-21142304724625/931135488 |
j-invariant |
L |
8.1450958983602 |
L(r)(E,1)/r! |
Ω |
0.42538371652004 |
Real period |
R |
0.27750208460698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87024bp1 32634g1 10878y1 |
Quadratic twists by: -4 -3 -7 |