Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400fk |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
239616000000000 = 220 · 32 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -6 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24833,1317537] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:1500:1] |
Generators of the group modulo torsion |
j |
3307949/468 |
j-invariant |
L |
3.9178514388857 |
L(r)(E,1)/r! |
Ω |
0.53443509112897 |
Real period |
R |
1.8327068635792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000733 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400dh1 15600ct1 62400hy1 |
Quadratic twists by: -4 8 5 |