Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
994g |
Isogeny class |
Conductor |
994 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
303651127808 = 29 · 76 · 712 |
Discriminant |
Eigenvalues |
2- -2 0 7- -6 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3238,65508] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:366:1] |
Generators of the group modulo torsion |
j |
3754590942390625/303651127808 |
j-invariant |
L |
2.6207661259998 |
L(r)(E,1)/r! |
Ω |
0.94756126830412 |
Real period |
R |
0.92193374495992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
7952e2 31808j2 8946i2 24850b2 |
Quadratic twists by: -4 8 -3 5 |