Atkin-Lehner |
2- 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050bg |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
216503787500000 = 25 · 58 · 7 · 114 · 132 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11+ 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-33963,-2305583] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:309:1] [-108:379:1] |
Generators of the group modulo torsion |
j |
277282601924329/13856242400 |
j-invariant |
L |
9.8844152308449 |
L(r)(E,1)/r! |
Ω |
0.35277141305504 |
Real period |
R |
1.4009660172355 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010c2 |
Quadratic twists by: 5 |