Atkin-Lehner |
3- 7+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
38157b |
Isogeny class |
Conductor |
38157 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
64896 |
Modular degree for the optimal curve |
Δ |
-6955420623291 = -1 · 313 · 74 · 23 · 79 |
Discriminant |
Eigenvalues |
0 3- 1 7+ -5 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1265,127643] |
[a1,a2,a3,a4,a6] |
Generators |
[37:364:1] [-53:220:1] |
Generators of the group modulo torsion |
j |
-224046703968256/6955420623291 |
j-invariant |
L |
8.8126935633268 |
L(r)(E,1)/r! |
Ω |
0.62370353771429 |
Real period |
R |
0.54344689734779 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114471m1 |
Quadratic twists by: -3 |