Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352m |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-749512273821696 = -1 · 217 · 39 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14796,1488240] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1232:1] |
Generators of the group modulo torsion |
j |
-138853062/290521 |
j-invariant |
L |
4.4515252184386 |
L(r)(E,1)/r! |
Ω |
0.44978939911193 |
Real period |
R |
0.61855687728833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352cw2 5544b2 44352i2 |
Quadratic twists by: -4 8 -3 |