Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200bu |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-1144000000000 = -1 · 212 · 59 · 11 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2133,-64637] |
[a1,a2,a3,a4,a6] |
Generators |
[2238:105875:1] |
Generators of the group modulo torsion |
j |
-16777216/17875 |
j-invariant |
L |
4.1231043359537 |
L(r)(E,1)/r! |
Ω |
0.33701368641349 |
Real period |
R |
6.117117052152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3575b1 11440v1 |
Quadratic twists by: -4 5 |