Atkin-Lehner |
2+ 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350b |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
146362788000000 = 28 · 39 · 56 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29742,-1879084] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:346:1] |
Generators of the group modulo torsion |
j |
9460870875/475904 |
j-invariant |
L |
4.7131622752423 |
L(r)(E,1)/r! |
Ω |
0.3646791592927 |
Real period |
R |
3.2310334680166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64350cx1 2574r1 |
Quadratic twists by: -3 5 |