Atkin-Lehner |
2+ 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
59328m |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
-88162401232355328 = -1 · 229 · 313 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 -3 6 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-106572,-19580560] |
[a1,a2,a3,a4,a6] |
Generators |
[398:1024:1] [520:8100:1] |
Generators of the group modulo torsion |
j |
-700463661841/461334528 |
j-invariant |
L |
6.9012187596314 |
L(r)(E,1)/r! |
Ω |
0.12832994288367 |
Real period |
R |
6.72214391723 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59328br1 1854b1 19776c1 |
Quadratic twists by: -4 8 -3 |