Atkin-Lehner |
3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81225bn |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
1547627182111125 = 36 · 53 · 198 |
Discriminant |
Eigenvalues |
-2 3- 5- -4 1 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-308655,65975006] |
[a1,a2,a3,a4,a6] |
Generators |
[0:8122:1] |
Generators of the group modulo torsion |
j |
2101248 |
j-invariant |
L |
1.7025524433546 |
L(r)(E,1)/r! |
Ω |
0.46930606221521 |
Real period |
R |
0.30231736094764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9025e1 81225bm1 81225bt1 |
Quadratic twists by: -3 5 -19 |