Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9702l |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-1.4386936200715E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11- -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1700358,1030640092] |
[a1,a2,a3,a4,a6] |
Generators |
[347:21788:1] |
Generators of the group modulo torsion |
j |
-71285434106859/18863581528 |
j-invariant |
L |
3.9733421049537 |
L(r)(E,1)/r! |
Ω |
0.17449417225927 |
Real period |
R |
1.2650349590185 |
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 |
77616dl1 9702bh2 9702d1 106722fd1 |
Quadratic twists by: -4 -3 -7 -11 |