Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
1392k |
Isogeny class |
Conductor |
1392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-33251917824 = -1 · 219 · 37 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 2 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,-8768] |
[a1,a2,a3,a4,a6] |
Generators |
[24:64:1] |
Generators of the group modulo torsion |
j |
-117649/8118144 |
j-invariant |
L |
2.24364438654 |
L(r)(E,1)/r! |
Ω |
0.53266961236603 |
Real period |
R |
1.0530187636263 |
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 |
174b1 5568bc1 4176y1 34800dg1 |
Quadratic twists by: -4 8 -3 5 |