Atkin-Lehner |
2+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4606d |
Isogeny class |
Conductor |
4606 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
64484 = 22 · 73 · 47 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- -4 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12,-10] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] [-1:1:1] |
Generators of the group modulo torsion |
j |
493039/188 |
j-invariant |
L |
2.4874707324945 |
L(r)(E,1)/r! |
Ω |
2.6759500226472 |
Real period |
R |
0.92956546700895 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36848w1 41454by1 115150co1 4606g1 |
Quadratic twists by: -4 -3 5 -7 |