Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9702l |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-3788957283325530624 = -1 · 29 · 39 · 710 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11- -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-145508253,675620692613] |
[a1,a2,a3,a4,a6] |
Generators |
[55598:-10573:8] |
Generators of the group modulo torsion |
j |
-61279455929796531/681472 |
j-invariant |
L |
3.9733421049537 |
L(r)(E,1)/r! |
Ω |
0.17449417225927 |
Real period |
R |
3.7951048770556 |
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 |
77616dl2 9702bh1 9702d2 106722fd2 |
Quadratic twists by: -4 -3 -7 -11 |