Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2550x |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-27744000 = -1 · 28 · 3 · 53 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-453,3531] |
[a1,a2,a3,a4,a6] |
Generators |
[9:12:1] |
Generators of the group modulo torsion |
j |
-82256120549/221952 |
j-invariant |
L |
3.7245903260591 |
L(r)(E,1)/r! |
Ω |
2.111901430174 |
Real period |
R |
0.22045242458074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20400dt1 81600eq1 7650bh1 2550p1 |
Quadratic twists by: -4 8 -3 5 |