Atkin-Lehner |
2+ 5+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
70550a |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1695744 |
Modular degree for the optimal curve |
Δ |
3.227165828E+19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3679667,-2702117259] |
[a1,a2,a3,a4,a6] |
Generators |
[-581585675827:-416100433074:498677257] |
Generators of the group modulo torsion |
j |
352638159692912535681/2065386129920000 |
j-invariant |
L |
3.976686972339 |
L(r)(E,1)/r! |
Ω |
0.10904370702942 |
Real period |
R |
18.234371705902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14110n1 |
Quadratic twists by: 5 |