Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
48804g |
Isogeny class |
Conductor |
48804 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-5002933050623088 = -1 · 24 · 313 · 73 · 833 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31054,-3991847] |
[a1,a2,a3,a4,a6] |
Generators |
[222:77:1] |
Generators of the group modulo torsion |
j |
-603498563233024/911613165201 |
j-invariant |
L |
4.5024571880982 |
L(r)(E,1)/r! |
Ω |
0.1706640102213 |
Real period |
R |
4.3969992875344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48804t1 |
Quadratic twists by: -7 |