Atkin-Lehner |
2+ 3+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
4794b |
Isogeny class |
Conductor |
4794 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-28874252412 = -1 · 22 · 312 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 2 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,745,-2079] |
[a1,a2,a3,a4,a6] |
Generators |
[7:56:1] |
Generators of the group modulo torsion |
j |
45633245690375/28874252412 |
j-invariant |
L |
2.7065932094065 |
L(r)(E,1)/r! |
Ω |
0.67778436455911 |
Real period |
R |
1.9966477178676 |
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 |
38352u2 14382j2 119850ck2 81498h2 |
Quadratic twists by: -4 -3 5 17 |