Atkin-Lehner |
2- 3- 7+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32718p |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-103626478116 = -1 · 22 · 36 · 74 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,351,15309] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:117:1] |
Generators of the group modulo torsion |
j |
4781539277423/103626478116 |
j-invariant |
L |
8.8524607116478 |
L(r)(E,1)/r! |
Ω |
0.79382591153557 |
Real period |
R |
0.92930332530588 |
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 |
98154o2 |
Quadratic twists by: -3 |