Atkin-Lehner |
5+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44275f |
Isogeny class |
Conductor |
44275 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1632960 |
Modular degree for the optimal curve |
Δ |
2.7747006186614E+20 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ 11- 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2468333,-1258410932] |
[a1,a2,a3,a4,a6] |
Generators |
[-360416:4523749:343] |
Generators of the group modulo torsion |
j |
170308017376460800/28412934335093 |
j-invariant |
L |
6.9122461850854 |
L(r)(E,1)/r! |
Ω |
0.1218134440437 |
Real period |
R |
9.4574210580192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44275r1 |
Quadratic twists by: 5 |