Atkin-Lehner |
2+ 3+ 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42966a |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1230718104 = -1 · 23 · 33 · 72 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11+ 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21,-1683] |
[a1,a2,a3,a4,a6] |
Generators |
[21:72:1] |
Generators of the group modulo torsion |
j |
-38958219/45582152 |
j-invariant |
L |
4.4942477463634 |
L(r)(E,1)/r! |
Ω |
0.69305667198423 |
Real period |
R |
1.6211689202477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42966v2 |
Quadratic twists by: -3 |