Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968fe |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-769178776633344 = -1 · 222 · 39 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10659,1399970] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:1350:1] [55:990:1] |
Generators of the group modulo torsion |
j |
-33698267/193536 |
j-invariant |
L |
13.773487109831 |
L(r)(E,1)/r! |
Ω |
0.43618865222315 |
Real period |
R |
7.8942259514639 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15246f1 40656bp1 121968dk1 |
Quadratic twists by: -4 -3 -11 |