Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
75140c |
Isogeny class |
Conductor |
75140 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1785533185280 = -1 · 28 · 5 · 136 · 172 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2964,-17624] |
[a1,a2,a3,a4,a6] |
Generators |
[265:4394:1] |
Generators of the group modulo torsion |
j |
38911141424/24134045 |
j-invariant |
L |
5.3020997578616 |
L(r)(E,1)/r! |
Ω |
0.48283281154265 |
Real period |
R |
1.8302055534223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75140j2 |
Quadratic twists by: 17 |