Atkin-Lehner |
2+ 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
39494g |
Isogeny class |
Conductor |
39494 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
953344 |
Modular degree for the optimal curve |
Δ |
-1.8732139390088E+19 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 6 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,649077,-53324106] |
[a1,a2,a3,a4,a6] |
Generators |
[114180:4453126:125] |
Generators of the group modulo torsion |
j |
749429828039537/464199876608 |
j-invariant |
L |
5.6719069522637 |
L(r)(E,1)/r! |
Ω |
0.12556573440781 |
Real period |
R |
5.6463522662193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39494e1 |
Quadratic twists by: -7 |