Atkin-Lehner |
3- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72561k |
Isogeny class |
Conductor |
72561 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-54037552713208257 = -1 · 3 · 197 · 674 |
Discriminant |
Eigenvalues |
-1 3- 2 -4 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,75983,-7745902] |
[a1,a2,a3,a4,a6] |
Generators |
[117333140003932:-3274344160807121:179788129984] |
Generators of the group modulo torsion |
j |
1031219362727/1148613897 |
j-invariant |
L |
3.2159600003228 |
L(r)(E,1)/r! |
Ω |
0.19108205522655 |
Real period |
R |
16.830256487854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3819d4 |
Quadratic twists by: -19 |