Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3528t |
Isogeny class |
Conductor |
3528 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
28005264 = 24 · 36 · 74 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -3 -6 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,-637] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:7:1] |
Generators of the group modulo torsion |
j |
12544 |
j-invariant |
L |
3.6005630368031 |
L(r)(E,1)/r! |
Ω |
1.3780376846069 |
Real period |
R |
0.43546983233506 |
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 |
7056o1 28224ba1 392c1 88200bk1 |
Quadratic twists by: -4 8 -3 5 |