Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510bh |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-436816481062500 = -1 · 22 · 37 · 56 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24264,1774548] |
[a1,a2,a3,a4,a6] |
Generators |
[312:4794:1] [87:-606:1] |
Generators of the group modulo torsion |
j |
-902612375329/249562500 |
j-invariant |
L |
7.5797642948732 |
L(r)(E,1)/r! |
Ω |
0.50235848491756 |
Real period |
R |
0.31434077632651 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
16170bv2 48510bd2 |
Quadratic twists by: -3 -7 |