Atkin-Lehner |
2- 3+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
55536ba |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3.7833917347202E+25 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 -3 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36109392,307507912896] |
[a1,a2,a3,a4,a6] |
Generators |
[-536:571584:1] |
Generators of the group modulo torsion |
j |
-1271230499775148533281233/9236796227344140050076 |
j-invariant |
L |
3.907744417606 |
L(r)(E,1)/r! |
Ω |
0.055740090221342 |
Real period |
R |
5.8422109982514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6942n3 |
Quadratic twists by: -4 |