Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
14616o |
Isogeny class |
Conductor |
14616 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-181097976019968 = -1 · 210 · 36 · 73 · 294 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19155,-1208482] |
[a1,a2,a3,a4,a6] |
Generators |
[1091:35728:1] |
Generators of the group modulo torsion |
j |
-1041220466500/242597383 |
j-invariant |
L |
5.3039817461684 |
L(r)(E,1)/r! |
Ω |
0.2004311852364 |
Real period |
R |
2.2052380637577 |
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 |
29232f1 116928bx1 1624b1 102312bk1 |
Quadratic twists by: -4 8 -3 -7 |