Atkin-Lehner |
2+ 3+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
110448c |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
18454535424 = 28 · 33 · 13 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3132,67148] |
[a1,a2,a3,a4,a6] |
Generators |
[49:177:1] [194:591:8] |
Generators of the group modulo torsion |
j |
491569855488/2669927 |
j-invariant |
L |
11.812178749413 |
L(r)(E,1)/r! |
Ω |
1.2313517320458 |
Real period |
R |
1.5988091839464 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55224a1 110448a1 |
Quadratic twists by: -4 -3 |