Atkin-Lehner |
2- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
39886r |
Isogeny class |
Conductor |
39886 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-232724918272 = -1 · 212 · 73 · 112 · 372 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1443,-31487] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-555:1] |
Generators of the group modulo torsion |
j |
-968829592375/678498304 |
j-invariant |
L |
5.876617061545 |
L(r)(E,1)/r! |
Ω |
0.37567828497908 |
Real period |
R |
0.65177854036638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39886q1 |
Quadratic twists by: -7 |