Atkin-Lehner |
2- 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
14868a |
Isogeny class |
Conductor |
14868 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-14870795184 = -1 · 24 · 38 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264,-6095] |
[a1,a2,a3,a4,a6] |
Generators |
[32:135:1] |
Generators of the group modulo torsion |
j |
-174456832/1274931 |
j-invariant |
L |
5.3503731687043 |
L(r)(E,1)/r! |
Ω |
0.5243091863902 |
Real period |
R |
1.7007690969333 |
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 |
59472bl1 4956b1 104076w1 |
Quadratic twists by: -4 -3 -7 |