Atkin-Lehner |
2- 37+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
43216a |
Isogeny class |
Conductor |
43216 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
181248 |
Modular degree for the optimal curve |
Δ |
2986313685962752 = 212 · 374 · 733 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 2 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-122371,-16265406] |
[a1,a2,a3,a4,a6] |
Generators |
[785:19272:1] |
Generators of the group modulo torsion |
j |
49476536631111897/729080489737 |
j-invariant |
L |
4.0584105271471 |
L(r)(E,1)/r! |
Ω |
0.25548625656376 |
Real period |
R |
2.6475073987202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2701a1 |
Quadratic twists by: -4 |