Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050a |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-67881000000000 = -1 · 29 · 3 · 59 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11+ 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-294124650,-1941657667500] |
[a1,a2,a3,a4,a6] |
Generators |
[391086439729792571101982220245:-13203651518243015331651687920310:19262855520805924256655763] |
Generators of the group modulo torsion |
j |
-180093466903641160790448289/4344384000 |
j-invariant |
L |
3.3767346434898 |
L(r)(E,1)/r! |
Ω |
0.018227902754972 |
Real period |
R |
46.312714754975 |
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 |
84150fw2 5610bf2 |
Quadratic twists by: -3 5 |