Atkin-Lehner |
2- 3+ 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672bh |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-26558558208 = -1 · 212 · 33 · 72 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-224,-7872] |
[a1,a2,a3,a4,a6] |
Generators |
[37:182:1] |
Generators of the group modulo torsion |
j |
-304821217/6484023 |
j-invariant |
L |
5.4300817510481 |
L(r)(E,1)/r! |
Ω |
0.51309682912686 |
Real period |
R |
2.6457392812169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013799 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7917c1 |
Quadratic twists by: -4 |