Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880k |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
3639482790831360000 = 211 · 314 · 54 · 112 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-410096,-42480396] |
[a1,a2,a3,a4,a6] |
Generators |
[-356:7650:1] |
Generators of the group modulo torsion |
j |
3724357985033255138/1777091206460625 |
j-invariant |
L |
7.9362625221274 |
L(r)(E,1)/r! |
Ω |
0.19775732376326 |
Real period |
R |
0.47775381432947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440o2 |
Quadratic twists by: -4 |