Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400fy |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
56070144000 = 215 · 34 · 53 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-993,4257] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:117:1] [-23:120:1] |
Generators of the group modulo torsion |
j |
26463592/13689 |
j-invariant |
L |
7.9178931945049 |
L(r)(E,1)/r! |
Ω |
0.98316876578281 |
Real period |
R |
1.006680321587 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400ig2 31200ba2 62400hv2 |
Quadratic twists by: -4 8 5 |