Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28336bj |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-453376 = -1 · 28 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -2 1 7- 11+ 6 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,31] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
-65536/1771 |
j-invariant |
L |
4.7364296493632 |
L(r)(E,1)/r! |
Ω |
2.4818843276248 |
Real period |
R |
0.95420032203839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7084e1 113344eg1 |
Quadratic twists by: -4 8 |