Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
882d |
Isogeny class |
Conductor |
882 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-214326 = -1 · 2 · 37 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -5 0 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,27] |
[a1,a2,a3,a4,a6] |
Generators |
[3:3:1] |
Generators of the group modulo torsion |
j |
-2401/6 |
j-invariant |
L |
1.8519608667874 |
L(r)(E,1)/r! |
Ω |
2.7923167772662 |
Real period |
R |
0.16580862904464 |
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 |
7056bs1 28224bs1 294b1 22050ev1 |
Quadratic twists by: -4 8 -3 5 |