Atkin-Lehner |
3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
2655d |
Isogeny class |
Conductor |
2655 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
3629053125 = 39 · 55 · 59 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 1 -1 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2052,35660] |
[a1,a2,a3,a4,a6] |
Generators |
[18:67:1] |
Generators of the group modulo torsion |
j |
48547233792/184375 |
j-invariant |
L |
2.7630241327531 |
L(r)(E,1)/r! |
Ω |
1.4090552046228 |
Real period |
R |
0.19609055228555 |
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 |
42480x1 2655a1 13275d1 |
Quadratic twists by: -4 -3 5 |