Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2550b |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
474032250000 = 24 · 38 · 56 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2850,-49500] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:70:1] |
Generators of the group modulo torsion |
j |
163936758817/30338064 |
j-invariant |
L |
2.0222602930339 |
L(r)(E,1)/r! |
Ω |
0.6617320862709 |
Real period |
R |
1.5280053174012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20400cx2 81600cn2 7650bz2 102b2 |
Quadratic twists by: -4 8 -3 5 |