Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2550a |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-63750000 = -1 · 24 · 3 · 57 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,100,0] |
[a1,a2,a3,a4,a6] |
Generators |
[4:20:1] |
Generators of the group modulo torsion |
j |
6967871/4080 |
j-invariant |
L |
2.108248731355 |
L(r)(E,1)/r! |
Ω |
1.1564244169153 |
Real period |
R |
1.8230752486001 |
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 |
20400cy1 81600co1 7650cb1 510f1 |
Quadratic twists by: -4 8 -3 5 |