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 |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
6980625 = 32 · 54 · 17 · 73 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-241,1334] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:45:1] |
Generators of the group modulo torsion |
j |
1548415333009/6980625 |
j-invariant |
L |
2.5435731128138 |
L(r)(E,1)/r! |
Ω |
2.373827977927 |
Real period |
R |
1.0715069231912 |
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 |
55845k1 93075p1 |
Quadratic twists by: -3 5 |