Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1302f |
Isogeny class |
Conductor |
1302 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
Δ |
-1187360416300086 = -1 · 2 · 37 · 710 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,12473,-1567720] |
[a1,a2,a3,a4,a6] |
Generators |
[94:614:1] |
Generators of the group modulo torsion |
j |
214628074889266583/1187360416300086 |
j-invariant |
L |
2.1748197878149 |
L(r)(E,1)/r! |
Ω |
0.2441610108134 |
Real period |
R |
0.25449480249233 |
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 |
10416t2 41664q2 3906s2 32550bl2 |
Quadratic twists by: -4 8 -3 5 |