Atkin-Lehner |
2- 3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
38352w |
Isogeny class |
Conductor |
38352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
10431744 = 28 · 3 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -5 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,-289] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] |
Generators of the group modulo torsion |
j |
268435456/40749 |
j-invariant |
L |
8.0079143687711 |
L(r)(E,1)/r! |
Ω |
1.586799687008 |
Real period |
R |
1.2616454418188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9588b1 115056o1 |
Quadratic twists by: -4 -3 |