Atkin-Lehner |
2- 3- 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390bx |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
deg |
38928384 |
Modular degree for the optimal curve |
Δ |
6.8198973290431E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1009666967,-12341885853009] |
[a1,a2,a3,a4,a6] |
Generators |
[38915:-2720898:1] |
Generators of the group modulo torsion |
j |
156145914944886169771662000169/93551403690576838656000 |
j-invariant |
L |
11.374962744037 |
L(r)(E,1)/r! |
Ω |
0.026783703927971 |
Real period |
R |
3.217402656083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26130b1 |
Quadratic twists by: -3 |