Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
31974n |
Isogeny class |
Conductor |
31974 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
170496 |
Modular degree for the optimal curve |
Δ |
397706346687492 = 22 · 32 · 737 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-69388,-6975220] |
[a1,a2,a3,a4,a6] |
Generators |
[81412672:275340667:262144] |
Generators of the group modulo torsion |
j |
244140625/2628 |
j-invariant |
L |
10.70384991746 |
L(r)(E,1)/r! |
Ω |
0.29434783980786 |
Real period |
R |
9.0911571870606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95922c1 438b1 |
Quadratic twists by: -3 73 |