Atkin-Lehner |
2- 7- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
25564b |
Isogeny class |
Conductor |
25564 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-245516656 = -1 · 24 · 75 · 11 · 83 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 11+ 0 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11474,469261] |
[a1,a2,a3,a4,a6] |
Generators |
[61:7:1] |
Generators of the group modulo torsion |
j |
-10442058353911552/15344791 |
j-invariant |
L |
2.826016194955 |
L(r)(E,1)/r! |
Ω |
1.493148930116 |
Real period |
R |
0.3785310544656 |
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 |
102256g1 |
Quadratic twists by: -4 |