Atkin-Lehner |
2+ 5+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121030c |
Isogeny class |
Conductor |
121030 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-15400965641152000 = -1 · 29 · 53 · 78 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -3 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,29276,-5648478] |
[a1,a2,a3,a4,a6] |
Generators |
[200:2766:1] |
Generators of the group modulo torsion |
j |
481388744711/2671552000 |
j-invariant |
L |
2.7125241391948 |
L(r)(E,1)/r! |
Ω |
0.19719110999558 |
Real period |
R |
1.5284236730236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000344887 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121030n2 |
Quadratic twists by: -7 |