Atkin-Lehner |
2+ 5- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
57850l |
Isogeny class |
Conductor |
57850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1524988940800000000 = -1 · 215 · 58 · 132 · 893 |
Discriminant |
Eigenvalues |
2+ -2 5- 5 3 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-696701,-231638952] |
[a1,a2,a3,a4,a6] |
Generators |
[396699615439904:-8443224886340747:334833680384] |
Generators of the group modulo torsion |
j |
-95741909088542185/3903971688448 |
j-invariant |
L |
3.9284205807753 |
L(r)(E,1)/r! |
Ω |
0.082427457758347 |
Real period |
R |
23.829562912715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57850o2 |
Quadratic twists by: 5 |