Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
48216g |
Isogeny class |
Conductor |
48216 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
145728 |
Modular degree for the optimal curve |
Δ |
-29883230705664 = -1 · 211 · 311 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6344,-329232] |
[a1,a2,a3,a4,a6] |
Generators |
[151:1476:1] |
Generators of the group modulo torsion |
j |
-281420453426/297784107 |
j-invariant |
L |
9.3710401242384 |
L(r)(E,1)/r! |
Ω |
0.2566855595117 |
Real period |
R |
1.6594481204744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96432e1 48216a1 |
Quadratic twists by: -4 -7 |