Atkin-Lehner |
2+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5618b |
Isogeny class |
Conductor |
5618 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-1.9708382530652E+19 |
Discriminant |
Eigenvalues |
2+ -1 0 -4 0 5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-795005,-346829891] |
[a1,a2,a3,a4,a6] |
Generators |
[30940566:1428490549:12167] |
Generators of the group modulo torsion |
j |
-2507141976625/889192448 |
j-invariant |
L |
1.9402680401858 |
L(r)(E,1)/r! |
Ω |
0.078542689718818 |
Real period |
R |
6.1758390473127 |
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 |
44944b1 50562bb1 106c1 |
Quadratic twists by: -4 -3 53 |