Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400cx |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-2300313600000000 = -1 · 224 · 33 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9633,2332863] |
[a1,a2,a3,a4,a6] |
Generators |
[93:1500:1] |
Generators of the group modulo torsion |
j |
-24137569/561600 |
j-invariant |
L |
7.1730350152652 |
L(r)(E,1)/r! |
Ω |
0.38646424892828 |
Real period |
R |
1.5467224189618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400eu1 1950a1 12480l1 |
Quadratic twists by: -4 8 5 |