Atkin-Lehner |
2- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
6572f |
Isogeny class |
Conductor |
6572 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
696 |
Modular degree for the optimal curve |
Δ |
-1393264 = -1 · 24 · 31 · 532 |
Discriminant |
Eigenvalues |
2- 0 3 -1 4 2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19,-47] |
[a1,a2,a3,a4,a6] |
j |
47409408/87079 |
j-invariant |
L |
2.8289618302038 |
L(r)(E,1)/r! |
Ω |
1.4144809151019 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26288c1 105152i1 59148l1 |
Quadratic twists by: -4 8 -3 |