Atkin-Lehner |
2+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
3290b |
Isogeny class |
Conductor |
3290 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5600 |
Modular degree for the optimal curve |
Δ |
20222182400 = 210 · 52 · 75 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16403,-815443] |
[a1,a2,a3,a4,a6] |
Generators |
[214:2245:1] |
Generators of the group modulo torsion |
j |
488129366009364409/20222182400 |
j-invariant |
L |
3.3669608568208 |
L(r)(E,1)/r! |
Ω |
0.42185807404178 |
Real period |
R |
1.5962528935679 |
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 |
26320f1 105280u1 29610bh1 16450i1 |
Quadratic twists by: -4 8 -3 5 |