Atkin-Lehner |
2+ 3- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194m |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
11543044604627844 = 22 · 314 · 72 · 114 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-148608,-21398580] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:471:1] |
Generators of the group modulo torsion |
j |
497879673215404033/15834080390436 |
j-invariant |
L |
2.8337086860566 |
L(r)(E,1)/r! |
Ω |
0.2436322577651 |
Real period |
R |
1.4538862341407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13398bf2 |
Quadratic twists by: -3 |