Atkin-Lehner |
2- 3- 7+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32718j |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
6792725066297856 = 29 · 3 · 72 · 19 · 416 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-145597,-21024655] |
[a1,a2,a3,a4,a6] |
Generators |
[454:2323:1] |
Generators of the group modulo torsion |
j |
341335279477197229393/6792725066297856 |
j-invariant |
L |
11.968062227596 |
L(r)(E,1)/r! |
Ω |
0.24470151075305 |
Real period |
R |
5.4343133716781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98154m2 |
Quadratic twists by: -3 |