Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8670f |
Isogeny class |
Conductor |
8670 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73440 |
Modular degree for the optimal curve |
Δ |
-169510905816300 = -1 · 22 · 35 · 52 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 6 -7 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-38587,2967961] |
[a1,a2,a3,a4,a6] |
Generators |
[120:-349:1] |
Generators of the group modulo torsion |
j |
-910904761/24300 |
j-invariant |
L |
3.3245250758449 |
L(r)(E,1)/r! |
Ω |
0.57112033090642 |
Real period |
R |
0.48508824030256 |
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 |
69360dz1 26010bp1 43350di1 8670i1 |
Quadratic twists by: -4 -3 5 17 |