Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
14640w |
Isogeny class |
Conductor |
14640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-17270046720 = -1 · 221 · 33 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -6 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,544,3840] |
[a1,a2,a3,a4,a6] |
Generators |
[16:128:1] |
Generators of the group modulo torsion |
j |
4338722591/4216320 |
j-invariant |
L |
2.0833094375412 |
L(r)(E,1)/r! |
Ω |
0.80939966579005 |
Real period |
R |
0.64347365263231 |
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 |
1830k1 58560dy1 43920ch1 73200cv1 |
Quadratic twists by: -4 8 -3 5 |