Atkin-Lehner |
2+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
4606f |
Isogeny class |
Conductor |
4606 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-7586478116 = -1 · 22 · 79 · 47 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 3 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,171,-4031] |
[a1,a2,a3,a4,a6] |
Generators |
[48:319:1] |
Generators of the group modulo torsion |
j |
4657463/64484 |
j-invariant |
L |
1.7003441451575 |
L(r)(E,1)/r! |
Ω |
0.64601263064099 |
Real period |
R |
0.32900752719617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36848m1 41454br1 115150bt1 658c1 |
Quadratic twists by: -4 -3 5 -7 |