Atkin-Lehner |
3- 5- 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
81765o |
Isogeny class |
Conductor |
81765 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
3020160 |
Modular degree for the optimal curve |
Δ |
2.0490463790396E+21 |
Discriminant |
Eigenvalues |
1 3- 5- 1 4 -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5349879,4237052490] |
[a1,a2,a3,a4,a6] |
Generators |
[145716:3900921:64] |
Generators of the group modulo torsion |
j |
23228871318477153798769/2810763208559182095 |
j-invariant |
L |
8.8481221681338 |
L(r)(E,1)/r! |
Ω |
0.14207355352935 |
Real period |
R |
1.0379743385083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27255e1 |
Quadratic twists by: -3 |