Atkin-Lehner |
2- 3- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
27306g |
Isogeny class |
Conductor |
27306 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
465920 |
Modular degree for the optimal curve |
Δ |
-3888579380297642208 = -1 · 25 · 319 · 37 · 414 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 1 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,338395,-57186115] |
[a1,a2,a3,a4,a6] |
Generators |
[435:-13340:1] |
Generators of the group modulo torsion |
j |
5878536232247984375/5334128093686752 |
j-invariant |
L |
6.7741373430958 |
L(r)(E,1)/r! |
Ω |
0.13601594298614 |
Real period |
R |
1.24509987476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9102b1 |
Quadratic twists by: -3 |