Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9702be |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
24598994112 = 26 · 33 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-50210,-4317855] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:65:1] |
Generators of the group modulo torsion |
j |
4406910829875/7744 |
j-invariant |
L |
6.6208111981029 |
L(r)(E,1)/r! |
Ω |
0.31893539615083 |
Real period |
R |
1.7299248473746 |
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 |
77616dq2 9702i4 198c2 106722p2 |
Quadratic twists by: -4 -3 -7 -11 |