Atkin-Lehner |
2- 47- |
Signs for the Atkin-Lehner involutions |
Class |
4418a |
Isogeny class |
Conductor |
4418 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
47622573323522 = 2 · 478 |
Discriminant |
Eigenvalues |
2- 0 0 0 -2 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21400,1163625] |
[a1,a2,a3,a4,a6] |
Generators |
[7443120:13654363:110592] |
Generators of the group modulo torsion |
j |
100544625/4418 |
j-invariant |
L |
5.2441423083841 |
L(r)(E,1)/r! |
Ω |
0.62987394064712 |
Real period |
R |
8.3257013347725 |
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 |
35344a2 39762c2 110450a2 94a2 |
Quadratic twists by: -4 -3 5 -47 |