Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200u |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
40898000 = 24 · 53 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-263,1528] |
[a1,a2,a3,a4,a6] |
Generators |
[28:130:1] |
Generators of the group modulo torsion |
j |
1009743872/20449 |
j-invariant |
L |
5.0799038353735 |
L(r)(E,1)/r! |
Ω |
2.0381216065051 |
Real period |
R |
1.2462219671207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28600t1 57200w1 |
Quadratic twists by: -4 5 |