Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
53424bw |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
528420630528 = 212 · 38 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4899,-127262] |
[a1,a2,a3,a4,a6] |
Generators |
[191:2430:1] |
Generators of the group modulo torsion |
j |
4354703137/176967 |
j-invariant |
L |
7.0981851511871 |
L(r)(E,1)/r! |
Ω |
0.5720842270625 |
Real period |
R |
3.1018968953389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3339b2 17808z2 |
Quadratic twists by: -4 -3 |