Atkin-Lehner |
2- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
28208j |
Isogeny class |
Conductor |
28208 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-79709066288 = -1 · 24 · 415 · 43 |
Discriminant |
Eigenvalues |
2- -3 0 -1 -2 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-760,-15797] |
[a1,a2,a3,a4,a6] |
Generators |
[357:6724:1] |
Generators of the group modulo torsion |
j |
-3034202112000/4981816643 |
j-invariant |
L |
3.1650497287942 |
L(r)(E,1)/r! |
Ω |
0.43025602637687 |
Real period |
R |
1.4712401615599 |
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 |
7052b1 112832bp1 |
Quadratic twists by: -4 8 |