Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
28320j |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
11278440000 = 26 · 34 · 54 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1010,11592] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:140:1] |
Generators of the group modulo torsion |
j |
1782123442624/176225625 |
j-invariant |
L |
5.7771296562487 |
L(r)(E,1)/r! |
Ω |
1.2400538086585 |
Real period |
R |
2.3293866830256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28320y1 56640x2 84960be1 |
Quadratic twists by: -4 8 -3 |