Atkin-Lehner |
3+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
2301a |
Isogeny class |
Conductor |
2301 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
15883803 = 33 · 132 · 592 |
Discriminant |
Eigenvalues |
-1 3+ 0 2 -4 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-128,470] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:34:1] |
Generators of the group modulo torsion |
j |
232041498625/15883803 |
j-invariant |
L |
1.7704941082726 |
L(r)(E,1)/r! |
Ω |
2.1633921567179 |
Real period |
R |
0.8183879666822 |
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 |
36816u2 6903f2 57525i2 112749o2 |
Quadratic twists by: -4 -3 5 -7 |