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 |
Δ |
-218484000000 = -1 · 28 · 33 · 56 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,300,22500] |
[a1,a2,a3,a4,a6] |
Generators |
[24:210:1] |
Generators of the group modulo torsion |
j |
11625163184/853453125 |
j-invariant |
L |
5.3004762200739 |
L(r)(E,1)/r! |
Ω |
0.76127583187211 |
Real period |
R |
2.3208741598251 |
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 |
28560cq2 114240u2 21420q2 35700g2 |
Quadratic twists by: -4 8 -3 5 |