Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9702bc |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-891471792392713224 = -1 · 23 · 39 · 74 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11+ 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-312311,81173719] |
[a1,a2,a3,a4,a6] |
j |
-71285434106859/18863581528 |
j-invariant |
L |
4.7977965162407 |
L(r)(E,1)/r! |
Ω |
0.26654425090226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616da2 9702d1 9702bh2 106722j2 |
Quadratic twists by: -4 -3 -7 -11 |