Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400bp |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
15335424000 = 220 · 32 · 53 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 6 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-993,-10143] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:20:1] |
Generators of the group modulo torsion |
j |
3307949/468 |
j-invariant |
L |
5.6316560910577 |
L(r)(E,1)/r! |
Ω |
0.8584116483054 |
Real period |
R |
1.6401385344184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998943 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400hy1 1950j1 62400dh1 |
Quadratic twists by: -4 8 5 |