Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7488b |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-13625044992 = -1 · 212 · 39 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-324,-6048] |
[a1,a2,a3,a4,a6] |
Generators |
[996:31428:1] |
Generators of the group modulo torsion |
j |
-46656/169 |
j-invariant |
L |
4.7197227433409 |
L(r)(E,1)/r! |
Ω |
0.51577029712746 |
Real period |
R |
4.5754115442738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7488a2 3744b1 7488c2 97344n2 |
Quadratic twists by: -4 8 -3 13 |