Atkin-Lehner |
3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225l |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3016817119125 = 33 · 53 · 197 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 -2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-548607,-156264124] |
[a1,a2,a3,a4,a6] |
Generators |
[5943091030:-154328875417:4913000] |
Generators of the group modulo torsion |
j |
115003963647/19 |
j-invariant |
L |
5.1671645833833 |
L(r)(E,1)/r! |
Ω |
0.17542205152805 |
Real period |
R |
14.727807984785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81225n2 81225m2 4275d2 |
Quadratic twists by: -3 5 -19 |