Atkin-Lehner |
3+ 7+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
18921b |
Isogeny class |
Conductor |
18921 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-291484677579824673 = -1 · 32 · 714 · 17 · 532 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2727895,-1735493342] |
[a1,a2,a3,a4,a6] |
Generators |
[653622739664783253497934:27869206403431622942538658:219824711231515014743] |
Generators of the group modulo torsion |
j |
-2244951227600129938821625/291484677579824673 |
j-invariant |
L |
4.4072260957721 |
L(r)(E,1)/r! |
Ω |
0.058736659406066 |
Real period |
R |
37.516826291597 |
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 |
56763g2 |
Quadratic twists by: -3 |