Atkin-Lehner |
2+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
3416b |
Isogeny class |
Conductor |
3416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
437248 = 210 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ -3 2 7- 1 4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19,-2] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:4:1] |
Generators of the group modulo torsion |
j |
740772/427 |
j-invariant |
L |
2.5745671647434 |
L(r)(E,1)/r! |
Ω |
2.491663728351 |
Real period |
R |
0.51663616070038 |
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 |
6832b1 27328i1 30744i1 85400w1 |
Quadratic twists by: -4 8 -3 5 |