Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14280bq |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
29388240 = 24 · 32 · 5 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-271,1610] |
[a1,a2,a3,a4,a6] |
Generators |
[11:9:1] |
Generators of the group modulo torsion |
j |
138074404864/1836765 |
j-invariant |
L |
5.2154077425981 |
L(r)(E,1)/r! |
Ω |
2.1018024495522 |
Real period |
R |
1.2406988448675 |
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 |
28560e1 114240bn1 42840w1 71400n1 |
Quadratic twists by: -4 8 -3 5 |