Atkin-Lehner |
3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
2961a |
Isogeny class |
Conductor |
2961 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
-8883 = -1 · 33 · 7 · 47 |
Discriminant |
Eigenvalues |
0 3+ -2 7+ -1 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6,7] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] |
Generators of the group modulo torsion |
j |
-884736/329 |
j-invariant |
L |
2.3754711803431 |
L(r)(E,1)/r! |
Ω |
3.8726160158052 |
Real period |
R |
0.3067010995472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47376y1 2961b1 74025g1 20727e1 |
Quadratic twists by: -4 -3 5 -7 |