Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160fe |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-1632960 = -1 · 26 · 36 · 5 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -1 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18,54] |
[a1,a2,a3,a4,a6] |
Generators |
[25:127:1] |
Generators of the group modulo torsion |
j |
13824/35 |
j-invariant |
L |
6.2014165265154 |
L(r)(E,1)/r! |
Ω |
1.8637924754634 |
Real period |
R |
3.3273106357904 |
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 |
20160es1 10080q1 2240v1 100800lr1 |
Quadratic twists by: -4 8 -3 5 |