Atkin-Lehner |
3- 5- 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
25665k |
Isogeny class |
Conductor |
25665 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6976 |
Modular degree for the optimal curve |
Δ |
744285 = 3 · 5 · 292 · 59 |
Discriminant |
Eigenvalues |
2 3- 5- -4 -1 -1 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-80,-301] |
[a1,a2,a3,a4,a6] |
Generators |
[-2616:179:512] |
Generators of the group modulo torsion |
j |
57333846016/744285 |
j-invariant |
L |
12.062623457908 |
L(r)(E,1)/r! |
Ω |
1.5959404873101 |
Real period |
R |
3.7791582937527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76995k1 128325b1 |
Quadratic twists by: -3 5 |