Atkin-Lehner |
3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24675r |
Isogeny class |
Conductor |
24675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19570359375 = 34 · 56 · 7 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-713,-2958] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:49:1] |
Generators of the group modulo torsion |
j |
2565726409/1252503 |
j-invariant |
L |
4.0348033677208 |
L(r)(E,1)/r! |
Ω |
0.97063304322769 |
Real period |
R |
1.0392195577599 |
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 |
74025s2 987a2 |
Quadratic twists by: -3 5 |