Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48720cu |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
-965109372324249600 = -1 · 215 · 35 · 52 · 78 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,49840,-47054700] |
[a1,a2,a3,a4,a6] |
Generators |
[658:-16464:1] |
Generators of the group modulo torsion |
j |
3342636501165359/235622405352600 |
j-invariant |
L |
8.0830012160345 |
L(r)(E,1)/r! |
Ω |
0.13273214595056 |
Real period |
R |
0.38060680205465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6090u2 |
Quadratic twists by: -4 |