Atkin-Lehner |
2- 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
14140d |
Isogeny class |
Conductor |
14140 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3312 |
Modular degree for the optimal curve |
Δ |
-176750000 = -1 · 24 · 56 · 7 · 101 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105,728] |
[a1,a2,a3,a4,a6] |
j |
-8077950976/11046875 |
j-invariant |
L |
3.2523124333397 |
L(r)(E,1)/r! |
Ω |
1.6261562166698 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
56560n1 127260f1 70700a1 98980b1 |
Quadratic twists by: -4 -3 5 -7 |