Atkin-Lehner |
3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19941g |
Isogeny class |
Conductor |
19941 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
2293382843397 = 35 · 177 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 0 -1 0 -5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5298,131096] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:524:1] [-11:433:1] |
Generators of the group modulo torsion |
j |
681472000/95013 |
j-invariant |
L |
3.3224129808893 |
L(r)(E,1)/r! |
Ω |
0.78771980396745 |
Real period |
R |
1.054439968424 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59823j1 1173f1 |
Quadratic twists by: -3 17 |