Atkin-Lehner |
2+ 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51646m |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.8926150772924E+20 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- -2 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9880124,11937537744] |
[a1,a2,a3,a4,a6] |
Generators |
[1983:10842:1] |
Generators of the group modulo torsion |
j |
906614545319184044169/1608696272210048 |
j-invariant |
L |
2.8686588954679 |
L(r)(E,1)/r! |
Ω |
0.17946807446734 |
Real period |
R |
3.9960573822961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378d2 |
Quadratic twists by: -7 |