Atkin-Lehner |
2+ 3+ 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
67344b |
Isogeny class |
Conductor |
67344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-261833472 = -1 · 28 · 36 · 23 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 3 -5 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,143,-467] |
[a1,a2,a3,a4,a6] |
Generators |
[314:2025:8] |
Generators of the group modulo torsion |
j |
1254444032/1022787 |
j-invariant |
L |
6.877215210432 |
L(r)(E,1)/r! |
Ω |
0.96765353022038 |
Real period |
R |
3.5535524830768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33672d1 |
Quadratic twists by: -4 |