Atkin-Lehner |
3- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
115311u |
Isogeny class |
Conductor |
115311 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
1.5639380748542E+23 |
Discriminant |
Eigenvalues |
0 3- 0 7- 3 5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-21453433,-33185201000] |
[a1,a2,a3,a4,a6] |
Generators |
[-2452:68428:1] |
Generators of the group modulo torsion |
j |
156539072512000000/22419616623453 |
j-invariant |
L |
8.0521365598168 |
L(r)(E,1)/r! |
Ω |
0.070819178345102 |
Real period |
R |
1.052777253457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115311b2 |
Quadratic twists by: 17 |