Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560cq |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
8784000000 = 210 · 32 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-565,2725] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:75:1] |
Generators of the group modulo torsion |
j |
19513606144/8578125 |
j-invariant |
L |
6.10343712675 |
L(r)(E,1)/r! |
Ω |
1.1726285097893 |
Real period |
R |
0.8674866017988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560bn1 14640be1 |
Quadratic twists by: -4 8 |