Atkin-Lehner |
2- 3+ 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270q |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
9260160 |
Modular degree for the optimal curve |
Δ |
-143021946101760 = -1 · 213 · 33 · 5 · 116 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11+ 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-348068078,-2499362708483] |
[a1,a2,a3,a4,a6] |
Generators |
[18664261:4044437165:343] |
Generators of the group modulo torsion |
j |
-172723938425279257868832431907/5297109114880 |
j-invariant |
L |
9.2611921521038 |
L(r)(E,1)/r! |
Ω |
0.017476461731439 |
Real period |
R |
10.190841362835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72270g1 |
Quadratic twists by: -3 |