Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952w |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-3173204450304 = -1 · 210 · 312 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4179,-134750] |
[a1,a2,a3,a4,a6] |
Generators |
[98:630:1] |
Generators of the group modulo torsion |
j |
-31522396/12393 |
j-invariant |
L |
6.6459878432584 |
L(r)(E,1)/r! |
Ω |
0.29123206310518 |
Real period |
R |
2.8525309662937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59976bh1 39984y1 119952bl1 |
Quadratic twists by: -4 -3 -7 |