Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400ig |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
59904000 = 212 · 32 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 2 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-793,-8857] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1680:1] |
Generators of the group modulo torsion |
j |
107850176/117 |
j-invariant |
L |
9.6399901794223 |
L(r)(E,1)/r! |
Ω |
0.89962997398471 |
Real period |
R |
2.6788764432073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997708 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400fy1 31200l1 62400fr1 |
Quadratic twists by: -4 8 5 |