Atkin-Lehner |
3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
34983i |
Isogeny class |
Conductor |
34983 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16773120 |
Modular degree for the optimal curve |
Δ |
-5.9293086467248E+27 |
Discriminant |
Eigenvalues |
1 3- 0 2 -6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,199075293,3543455509920] |
[a1,a2,a3,a4,a6] |
Generators |
[1376064799978242318216388748897268:-322001074637871251346794038960532913:117454096875190393404199825984] |
Generators of the group modulo torsion |
j |
247963729379947346375/1685064059634661407 |
j-invariant |
L |
6.3395093633389 |
L(r)(E,1)/r! |
Ω |
0.030932402084076 |
Real period |
R |
51.236801349178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11661m1 2691g1 |
Quadratic twists by: -3 13 |