Atkin-Lehner |
2- 3+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
123900c |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
51170700000000 = 28 · 3 · 58 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-489508,-131658488] |
[a1,a2,a3,a4,a6] |
Generators |
[822:4550:1] |
Generators of the group modulo torsion |
j |
3242977903408336/12792675 |
j-invariant |
L |
4.9572955558074 |
L(r)(E,1)/r! |
Ω |
0.18049269727845 |
Real period |
R |
4.5775587763397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999452406 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780p2 |
Quadratic twists by: 5 |