Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728by |
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] |
Generators |
[3270:35497:27] |
Generators of the group modulo torsion |
j |
-38272753/87024 |
j-invariant |
L |
5.949856122688 |
L(r)(E,1)/r! |
Ω |
0.48476966530148 |
Real period |
R |
6.1367867551848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728dw1 1554g1 |
Quadratic twists by: -4 8 |