Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280z |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6051657497760000 = 28 · 38 · 54 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104223,12398078] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:4950:1] |
Generators of the group modulo torsion |
j |
5702413264/275625 |
j-invariant |
L |
5.5779447190963 |
L(r)(E,1)/r! |
Ω |
0.41992747822047 |
Real period |
R |
3.3207785917787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17640by2 11760j2 5040o2 |
Quadratic twists by: -4 -3 -7 |