Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90576x |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-3.2820747525585E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -1 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4624923,3838200266] |
[a1,a2,a3,a4,a6] |
Generators |
[-1937:74358:1] |
Generators of the group modulo torsion |
j |
-3663951832329237721/10991601939456 |
j-invariant |
L |
5.9632319695931 |
L(r)(E,1)/r! |
Ω |
0.20836443495273 |
Real period |
R |
3.5774051128274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11322p1 30192m1 |
Quadratic twists by: -4 -3 |