Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170cf |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
232988813663760 = 24 · 38 · 5 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24550,1283540] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:236:1] |
Generators of the group modulo torsion |
j |
13908844989649/1980372240 |
j-invariant |
L |
9.236139108387 |
L(r)(E,1)/r! |
Ω |
0.53556471730585 |
Real period |
R |
2.1557009848523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129360fo1 48510x1 80850i1 2310m1 |
Quadratic twists by: -4 -3 5 -7 |