Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968a |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
328628627712 = 28 · 39 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4455,111078] |
[a1,a2,a3,a4,a6] |
Generators |
[22:154:1] |
Generators of the group modulo torsion |
j |
1458000/49 |
j-invariant |
L |
6.3134117334852 |
L(r)(E,1)/r! |
Ω |
0.95761951324591 |
Real period |
R |
1.6482046584994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999940251 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60984h1 121968b1 121968l1 |
Quadratic twists by: -4 -3 -11 |