Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9702by |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
2192683613035608 = 23 · 36 · 710 · 113 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-119300,-15669489] |
[a1,a2,a3,a4,a6] |
Generators |
[-213:315:1] |
Generators of the group modulo torsion |
j |
911871625/10648 |
j-invariant |
L |
6.6925325746754 |
L(r)(E,1)/r! |
Ω |
0.2570669708847 |
Real period |
R |
2.8926887338359 |
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 |
77616es2 1078d2 9702bn2 106722cn2 |
Quadratic twists by: -4 -3 -7 -11 |