Atkin-Lehner |
2+ 5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
57850b |
Isogeny class |
Conductor |
57850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3345600 |
Modular degree for the optimal curve |
Δ |
-7.4334999385088E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ -5 0 13+ 8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,849833,1276419741] |
[a1,a2,a3,a4,a6] |
Generators |
[409:40933:1] |
Generators of the group modulo torsion |
j |
4344143595143659839/47574399606456320 |
j-invariant |
L |
2.5967055369864 |
L(r)(E,1)/r! |
Ω |
0.11790413393092 |
Real period |
R |
5.5059679642216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11570g1 |
Quadratic twists by: 5 |