Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400a |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2433600000000 = 212 · 32 · 58 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6633,196137] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:600:1] |
Generators of the group modulo torsion |
j |
504358336/38025 |
j-invariant |
L |
5.1241879251916 |
L(r)(E,1)/r! |
Ω |
0.79806665954155 |
Real period |
R |
1.6051879449909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000801 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62400ca2 31200cb1 12480bh2 |
Quadratic twists by: -4 8 5 |