Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
2550l |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
163200 = 27 · 3 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21,-32] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] |
Generators of the group modulo torsion |
j |
38226865/6528 |
j-invariant |
L |
2.8331899895259 |
L(r)(E,1)/r! |
Ω |
2.2692328080535 |
Real period |
R |
1.2485232804104 |
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 |
20400ce1 81600z1 7650bu1 2550w1 |
Quadratic twists by: -4 8 -3 5 |