Atkin-Lehner |
2+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
4214a |
Isogeny class |
Conductor |
4214 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-935955749838592 = -1 · 28 · 711 · 432 |
Discriminant |
Eigenvalues |
2+ 0 4 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5920,1459968] |
[a1,a2,a3,a4,a6] |
Generators |
[5808:93136:27] |
Generators of the group modulo torsion |
j |
195011097399/7955492608 |
j-invariant |
L |
3.2547793609368 |
L(r)(E,1)/r! |
Ω |
0.37593576183417 |
Real period |
R |
2.1644518102354 |
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 |
33712j1 37926cc1 105350cb1 602a1 |
Quadratic twists by: -4 -3 5 -7 |