Atkin-Lehner |
2- 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43602u |
Isogeny class |
Conductor |
43602 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-149198905829376 = -1 · 211 · 33 · 137 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 -4 13+ 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27635,-1865631] |
[a1,a2,a3,a4,a6] |
Generators |
[430:-8327:1] |
Generators of the group modulo torsion |
j |
-483551781049/30910464 |
j-invariant |
L |
10.672917569346 |
L(r)(E,1)/r! |
Ω |
0.18446011712939 |
Real period |
R |
0.4383356000723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3354c1 |
Quadratic twists by: 13 |