Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472v |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3238976633942016 = -1 · 212 · 34 · 11 · 316 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ -4 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34969,3707591] |
[a1,a2,a3,a4,a6] |
Generators |
[269:3720:1] |
Generators of the group modulo torsion |
j |
-1154584765381312/790765779771 |
j-invariant |
L |
6.9922263693932 |
L(r)(E,1)/r! |
Ω |
0.412906866708 |
Real period |
R |
1.411179076369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472i2 32736k1 |
Quadratic twists by: -4 8 |