Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
4920j |
Isogeny class |
Conductor |
4920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
531360000 = 28 · 34 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1140,14400] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:150:1] |
Generators of the group modulo torsion |
j |
640588599376/2075625 |
j-invariant |
L |
4.3076450002485 |
L(r)(E,1)/r! |
Ω |
1.652746678422 |
Real period |
R |
0.65158881522627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9840f1 39360i1 14760e1 24600l1 |
Quadratic twists by: -4 8 -3 5 |