Atkin-Lehner |
2+ 3+ 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
77550a |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
199832080800 = 25 · 3 · 52 · 116 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11+ -5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3312455,-2321835435] |
[a1,a2,a3,a4,a6] |
Generators |
[-96430574471:48192639171:91733851] |
Generators of the group modulo torsion |
j |
160780683094770543727585/7993283232 |
j-invariant |
L |
3.1350016445523 |
L(r)(E,1)/r! |
Ω |
0.11190823362864 |
Real period |
R |
14.007019603918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77550cb2 |
Quadratic twists by: 5 |