Atkin-Lehner |
5+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67925b |
Isogeny class |
Conductor |
67925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-1041995369873046875 = -1 · 513 · 112 · 135 · 19 |
Discriminant |
Eigenvalues |
1 -1 5+ -3 11+ 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-944125,-356888500] |
[a1,a2,a3,a4,a6] |
Generators |
[254680:9701226:125] |
Generators of the group modulo torsion |
j |
-5956524027302481361/66687703671875 |
j-invariant |
L |
3.0253717168092 |
L(r)(E,1)/r! |
Ω |
0.07652836510985 |
Real period |
R |
9.8831711367147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13585i1 |
Quadratic twists by: 5 |