Atkin-Lehner |
3- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
7035h |
Isogeny class |
Conductor |
7035 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-156427875135 = -1 · 34 · 5 · 78 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1336,3017] |
[a1,a2,a3,a4,a6] |
Generators |
[3:82:1] |
Generators of the group modulo torsion |
j |
264003869234951/156427875135 |
j-invariant |
L |
5.6906923353013 |
L(r)(E,1)/r! |
Ω |
0.62468205365774 |
Real period |
R |
1.1387177488893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112560bi3 21105l3 35175d3 49245m3 |
Quadratic twists by: -4 -3 5 -7 |