Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10416bg |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-44457271885824 = -1 · 217 · 3 · 76 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4648,298260] |
[a1,a2,a3,a4,a6] |
Generators |
[531:12360:1] |
Generators of the group modulo torsion |
j |
2710620272807/10853826144 |
j-invariant |
L |
5.8090267377796 |
L(r)(E,1)/r! |
Ω |
0.45650065457516 |
Real period |
R |
6.3625612357399 |
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 |
1302c2 41664cg2 31248bj2 72912bw2 |
Quadratic twists by: -4 8 -3 -7 |