Atkin-Lehner |
2+ 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850b |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-2237760000000 = -1 · 212 · 33 · 57 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,600,72000] |
[a1,a2,a3,a4,a6] |
Generators |
[80:760:1] |
Generators of the group modulo torsion |
j |
1524845951/143216640 |
j-invariant |
L |
3.2410638613389 |
L(r)(E,1)/r! |
Ω |
0.62908616048074 |
Real period |
R |
0.64400237696794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550dz1 7770ba1 |
Quadratic twists by: -3 5 |