Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9212b |
Isogeny class |
Conductor |
9212 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-4126976 = -1 · 28 · 73 · 47 |
Discriminant |
Eigenvalues |
2- -3 1 7- 3 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7,-98] |
[a1,a2,a3,a4,a6] |
Generators |
[7:14:1] |
Generators of the group modulo torsion |
j |
-432/47 |
j-invariant |
L |
2.8327863918093 |
L(r)(E,1)/r! |
Ω |
1.0932804941042 |
Real period |
R |
0.43184806446987 |
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 |
36848x1 82908bb1 9212d1 |
Quadratic twists by: -4 -3 -7 |