Atkin-Lehner |
3- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39975s |
Isogeny class |
Conductor |
39975 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
24984375 = 3 · 56 · 13 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 -1 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-176,-877] |
[a1,a2,a3,a4,a6] |
Generators |
[-8657:4182:1331] |
Generators of the group modulo torsion |
j |
38272753/1599 |
j-invariant |
L |
8.9041204254659 |
L(r)(E,1)/r! |
Ω |
1.3150311618971 |
Real period |
R |
6.7710337849493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119925bi1 1599a1 |
Quadratic twists by: -3 5 |