Atkin-Lehner |
2- 3+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
14016bm |
Isogeny class |
Conductor |
14016 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-211873480704 = -1 · 214 · 311 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 0 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-195541,-33216563] |
[a1,a2,a3,a4,a6] |
Generators |
[191224575479311444428:1205856095167579537856933:4808837919439] |
Generators of the group modulo torsion |
j |
-50468394519494656/12931731 |
j-invariant |
L |
4.1962780855747 |
L(r)(E,1)/r! |
Ω |
0.11351673969549 |
Real period |
R |
36.966161086297 |
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 |
14016bb1 3504w1 42048cd1 |
Quadratic twists by: -4 8 -3 |