Atkin-Lehner |
3+ 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
18615a |
Isogeny class |
Conductor |
18615 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3118664025 = 34 · 52 · 172 · 732 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-366,-366] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:44:1] |
Generators of the group modulo torsion |
j |
5423019031009/3118664025 |
j-invariant |
L |
2.5435731128138 |
L(r)(E,1)/r! |
Ω |
1.1869139889635 |
Real period |
R |
2.1430138463824 |
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 |
55845k2 93075p2 |
Quadratic twists by: -3 5 |