Atkin-Lehner |
2- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
1988a |
Isogeny class |
Conductor |
1988 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
-127232 = -1 · 28 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 1 2 7+ -5 -3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12,-28] |
[a1,a2,a3,a4,a6] |
Generators |
[4:2:1] |
Generators of the group modulo torsion |
j |
-810448/497 |
j-invariant |
L |
3.5469719748956 |
L(r)(E,1)/r! |
Ω |
1.2392087203029 |
Real period |
R |
0.95409592610265 |
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 |
7952g1 31808d1 17892d1 49700i1 |
Quadratic twists by: -4 8 -3 5 |