Atkin-Lehner |
3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81585s |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
-2278482683235143175 = -1 · 310 · 52 · 77 · 374 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-71010,73006191] |
[a1,a2,a3,a4,a6] |
Generators |
[-222:8931:1] [870:64833:8] |
Generators of the group modulo torsion |
j |
-461710681489/26566232175 |
j-invariant |
L |
11.824641700526 |
L(r)(E,1)/r! |
Ω |
0.2145211387188 |
Real period |
R |
3.4450689135128 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27195u1 11655l1 |
Quadratic twists by: -3 -7 |