Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760ct |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-18384126197760 = -1 · 214 · 35 · 5 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3505,-222385] |
[a1,a2,a3,a4,a6] |
j |
-290731267024/1122078015 |
j-invariant |
L |
2.8356169713825 |
L(r)(E,1)/r! |
Ω |
0.28356169713821 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760q1 7440a1 89280dz1 |
Quadratic twists by: -4 8 -3 |