Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9702t |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4.0041941341639E+19 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11+ -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4434264,-3605783126] |
[a1,a2,a3,a4,a6] |
Generators |
[307345:2189293:125] |
Generators of the group modulo torsion |
j |
-112427521449300721/466873642818 |
j-invariant |
L |
2.0345567697653 |
L(r)(E,1)/r! |
Ω |
0.052006334207382 |
Real period |
R |
9.7803315729399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77616gw4 3234s4 198e4 106722hn4 |
Quadratic twists by: -4 -3 -7 -11 |