Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7140o |
Isogeny class |
Conductor |
7140 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
1214514000 = 24 · 36 · 53 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-645,5868] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:90:1] |
Generators of the group modulo torsion |
j |
1857616347136/75907125 |
j-invariant |
L |
5.3004762200739 |
L(r)(E,1)/r! |
Ω |
1.5225516637442 |
Real period |
R |
1.1604370799125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
28560cq1 114240u1 21420q1 35700g1 |
Quadratic twists by: -4 8 -3 5 |