Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400b |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10528727040000000 = 219 · 32 · 57 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-773633,-261604863] |
[a1,a2,a3,a4,a6] |
Generators |
[-175112:-61699:343] |
Generators of the group modulo torsion |
j |
12501706118329/2570490 |
j-invariant |
L |
5.6397924947412 |
L(r)(E,1)/r! |
Ω |
0.16097970220937 |
Real period |
R |
8.7585459805945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400gc4 1950w3 12480bi3 |
Quadratic twists by: -4 8 5 |