Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544ee |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-395879752138752 = -1 · 228 · 36 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 4 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18132,-182320] |
[a1,a2,a3,a4,a6] |
j |
3449795831/2071552 |
j-invariant |
L |
4.9706402031259 |
L(r)(E,1)/r! |
Ω |
0.3106650135533 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544cr1 17136bi1 7616f1 |
Quadratic twists by: -4 8 -3 |