Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49600j |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
787251200000000 = 221 · 58 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 -2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1705633,-856816863] |
[a1,a2,a3,a4,a6] |
Generators |
[202783251887968894179:-71789250776422029017300:1617806603297457] |
Generators of the group modulo torsion |
j |
133974081659809/192200 |
j-invariant |
L |
8.6633058452539 |
L(r)(E,1)/r! |
Ω |
0.132107712714 |
Real period |
R |
32.788796608708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49600ci2 1550c2 9920j2 |
Quadratic twists by: -4 8 5 |