Atkin-Lehner |
3- 7+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
33579a |
Isogeny class |
Conductor |
33579 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-318228183 = -1 · 38 · 7 · 132 · 41 |
Discriminant |
Eigenvalues |
1 3- -2 7+ -6 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63,-864] |
[a1,a2,a3,a4,a6] |
Generators |
[174:615:8] |
Generators of the group modulo torsion |
j |
-38272753/436527 |
j-invariant |
L |
3.4338172595403 |
L(r)(E,1)/r! |
Ω |
0.73127696769358 |
Real period |
R |
2.3478226521819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11193e1 |
Quadratic twists by: -3 |