Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728dw |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-22812819456 = -1 · 222 · 3 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 6 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-449,8289] |
[a1,a2,a3,a4,a6] |
j |
-38272753/87024 |
j-invariant |
L |
2.1345793712861 |
L(r)(E,1)/r! |
Ω |
1.0672896853239 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728by1 12432bv1 |
Quadratic twists by: -4 8 |