Atkin-Lehner |
2+ 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
38710p |
Isogeny class |
Conductor |
38710 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
153216 |
Modular degree for the optimal curve |
Δ |
-299692820000000 = -1 · 28 · 57 · 74 · 792 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ -2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-85677,-9724259] |
[a1,a2,a3,a4,a6] |
Generators |
[682:-16141:1] |
Generators of the group modulo torsion |
j |
-28968914756730361/124820000000 |
j-invariant |
L |
3.4246241138641 |
L(r)(E,1)/r! |
Ω |
0.1394892904199 |
Real period |
R |
0.87682720084341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38710j1 |
Quadratic twists by: -7 |