Atkin-Lehner |
3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
2961b |
Isogeny class |
Conductor |
2961 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-6475707 = -1 · 39 · 7 · 47 |
Discriminant |
Eigenvalues |
0 3+ 2 7+ 1 2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-54,-196] |
[a1,a2,a3,a4,a6] |
j |
-884736/329 |
j-invariant |
L |
1.7290932618441 |
L(r)(E,1)/r! |
Ω |
0.86454663092207 |
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 |
47376x1 2961a1 74025d1 20727a1 |
Quadratic twists by: -4 -3 5 -7 |