Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400fn |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
67383853056000 = 221 · 32 · 53 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10273,71617] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:320:1] |
Generators of the group modulo torsion |
j |
3659383421/2056392 |
j-invariant |
L |
5.3617818393389 |
L(r)(E,1)/r! |
Ω |
0.53376456212513 |
Real period |
R |
1.2556523558932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998903 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400dk2 15600cv2 62400id2 |
Quadratic twists by: -4 8 5 |