Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400b |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5607014400000000 = 220 · 34 · 58 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53633,-3124863] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:693:1] |
Generators of the group modulo torsion |
j |
4165509529/1368900 |
j-invariant |
L |
5.6397924947412 |
L(r)(E,1)/r! |
Ω |
0.32195940441873 |
Real period |
R |
4.3792729902972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995897 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62400gc2 1950w2 12480bi2 |
Quadratic twists by: -4 8 5 |