Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57960bk |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
6045701978332800000 = 210 · 39 · 55 · 73 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9608787,11463779934] |
[a1,a2,a3,a4,a6] |
Generators |
[1963:-12880:1] |
Generators of the group modulo torsion |
j |
4867860927988386828/299954571875 |
j-invariant |
L |
7.9801528922013 |
L(r)(E,1)/r! |
Ω |
0.22657966547063 |
Real period |
R |
0.58700125594939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999627 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920j1 57960c1 |
Quadratic twists by: -4 -3 |