Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640bd |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
21780234206438400 = 210 · 34 · 52 · 72 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-142336,19363760] |
[a1,a2,a3,a4,a6] |
j |
175798419556/12006225 |
j-invariant |
L |
2.9979363443022 |
L(r)(E,1)/r! |
Ω |
0.37474201652334 |
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 |
9240bb2 |
Quadratic twists by: -11 |