Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400ew |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7488000000 = 212 · 32 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1833,30537] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:75:1] |
Generators of the group modulo torsion |
j |
10648000/117 |
j-invariant |
L |
5.6661862500249 |
L(r)(E,1)/r! |
Ω |
1.3258714456126 |
Real period |
R |
2.1367781426165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400hf2 31200o1 2496z2 |
Quadratic twists by: -4 8 5 |