Atkin-Lehner |
2+ 3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14322f |
Isogeny class |
Conductor |
14322 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-66502724929191936 = -1 · 230 · 33 · 7 · 11 · 313 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-286045,-60200968] |
[a1,a2,a3,a4,a6] |
Generators |
[2179:97214:1] |
Generators of the group modulo torsion |
j |
-2588359596574997681353/66502724929191936 |
j-invariant |
L |
3.5037469232113 |
L(r)(E,1)/r! |
Ω |
0.10306288154815 |
Real period |
R |
1.8886780955579 |
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 |
114576y2 42966bi2 100254j2 |
Quadratic twists by: -4 -3 -7 |