Atkin-Lehner |
2- 3- 7- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32718x |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
440 |
Product of Tamagawa factors cp |
Δ |
728290627211764512 = 25 · 322 · 72 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-412990,93505316] |
[a1,a2,a3,a4,a6] |
Generators |
[2096:90806:1] |
Generators of the group modulo torsion |
j |
7790088393836693249761/728290627211764512 |
j-invariant |
L |
8.8506427663192 |
L(r)(E,1)/r! |
Ω |
0.27751404638261 |
Real period |
R |
0.28993267127742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98154bm2 |
Quadratic twists by: -3 |