Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400eq |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2433600000000 = 212 · 32 · 58 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4633,-93863] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:125:1] |
Generators of the group modulo torsion |
j |
171879616/38025 |
j-invariant |
L |
3.9971400750647 |
L(r)(E,1)/r! |
Ω |
0.58779668883685 |
Real period |
R |
1.7000521400768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997901 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62400gz2 31200bu1 12480cv2 |
Quadratic twists by: -4 8 5 |