Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400cq |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
39936000000 = 216 · 3 · 56 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83233,-9270337] |
[a1,a2,a3,a4,a6] |
Generators |
[31791:1054900:27] |
Generators of the group modulo torsion |
j |
62275269892/39 |
j-invariant |
L |
7.9806757376682 |
L(r)(E,1)/r! |
Ω |
0.28107696086019 |
Real period |
R |
7.0983012207721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400en4 7800a3 2496c3 |
Quadratic twists by: -4 8 5 |