Atkin-Lehner |
2- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5618h |
Isogeny class |
Conductor |
5618 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
17172 |
Modular degree for the optimal curve |
Δ |
-498077523290888 = -1 · 23 · 538 |
Discriminant |
Eigenvalues |
2- 1 0 2 0 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15508,-1307240] |
[a1,a2,a3,a4,a6] |
Generators |
[152141903017646980986:1869920272140139866916:614977221405648457] |
Generators of the group modulo torsion |
j |
-6625/8 |
j-invariant |
L |
6.6747374057747 |
L(r)(E,1)/r! |
Ω |
0.20448373897667 |
Real period |
R |
32.641898271119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44944j1 50562n1 5618a1 |
Quadratic twists by: -4 -3 53 |