Atkin-Lehner |
2- 3+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080be |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-321440333168640 = -1 · 221 · 3 · 5 · 73 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -1 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7000,-834960] |
[a1,a2,a3,a4,a6] |
Generators |
[559946:5875754:4913] |
Generators of the group modulo torsion |
j |
9259677062999/78476643840 |
j-invariant |
L |
5.4865948946136 |
L(r)(E,1)/r! |
Ω |
0.26899368919196 |
Real period |
R |
10.198371030785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6510j2 |
Quadratic twists by: -4 |