Atkin-Lehner |
3+ 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
18615a |
Isogeny class |
Conductor |
18615 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-200013167565 = -1 · 38 · 5 · 174 · 73 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1459,-1096] |
[a1,a2,a3,a4,a6] |
Generators |
[2318:38719:8] |
Generators of the group modulo torsion |
j |
343455901839791/200013167565 |
j-invariant |
L |
2.5435731128138 |
L(r)(E,1)/r! |
Ω |
0.59345699448176 |
Real period |
R |
4.2860276927648 |
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 |
55845k3 93075p3 |
Quadratic twists by: -3 5 |