Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9702by |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
4530338043462 = 2 · 36 · 710 · 11 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11255,450825] |
[a1,a2,a3,a4,a6] |
Generators |
[-19470:193775:216] |
Generators of the group modulo torsion |
j |
765625/22 |
j-invariant |
L |
6.6925325746754 |
L(r)(E,1)/r! |
Ω |
0.77120091265409 |
Real period |
R |
8.6780662015077 |
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 |
77616es1 1078d1 9702bn1 106722cn1 |
Quadratic twists by: -4 -3 -7 -11 |