Atkin-Lehner |
2+ 3- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194n |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1175121908154031068 = -1 · 22 · 39 · 74 · 118 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15822,52145856] |
[a1,a2,a3,a4,a6] |
Generators |
[639:-18288:1] |
Generators of the group modulo torsion |
j |
600848365809887/1611964208716092 |
j-invariant |
L |
2.9133474968756 |
L(r)(E,1)/r! |
Ω |
0.21509721699973 |
Real period |
R |
0.42326028456934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398bg4 |
Quadratic twists by: -3 |