Atkin-Lehner |
2+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11840k |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-9699328000000000 = -1 · 227 · 59 · 37 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 -3 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10655,-4722975] |
[a1,a2,a3,a4,a6] |
j |
510273943271/37000000000 |
j-invariant |
L |
3.5041290278603 |
L(r)(E,1)/r! |
Ω |
0.19467383488113 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11840bi3 370c2 106560bf3 59200be3 |
Quadratic twists by: -4 8 -3 5 |