Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650bn |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
341896016601562500 = 22 · 310 · 512 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-177192,5768716] |
[a1,a2,a3,a4,a6] |
j |
54014438633401/30015562500 |
j-invariant |
L |
2.1051286586355 |
L(r)(E,1)/r! |
Ω |
0.26314108232656 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11550bs2 6930z2 |
Quadratic twists by: -3 5 |