Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650a |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
772528020468750 = 2 · 38 · 57 · 73 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1004761375,-12259064860625] |
[a1,a2,a3,a4,a6] |
Generators |
[-17496910311655939153:8748708904764004022:956050062691697] |
Generators of the group modulo torsion |
j |
7179471593960193209684686321/49441793310 |
j-invariant |
L |
2.4905078045159 |
L(r)(E,1)/r! |
Ω |
0.026815371726762 |
Real period |
R |
23.219031139053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200fz8 40950dm8 2730bd7 95550ej8 |
Quadratic twists by: -4 -3 5 -7 |