Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225bb |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-2.3504587828313E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 6 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1541583,-37011384] |
[a1,a2,a3,a4,a6] |
Generators |
[488232624:54750488313:5451776] |
Generators of the group modulo torsion |
j |
756058031/438615 |
j-invariant |
L |
8.6687050858801 |
L(r)(E,1)/r! |
Ω |
0.10452872032407 |
Real period |
R |
10.366415399552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27075r1 16245l1 4275l1 |
Quadratic twists by: -3 5 -19 |