Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42588f |
Isogeny class |
Conductor |
42588 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
-1.79102872885E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 2 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3539367,-2571004098] |
[a1,a2,a3,a4,a6] |
Generators |
[52113975:2355523002:15625] |
Generators of the group modulo torsion |
j |
-32209663824/117649 |
j-invariant |
L |
6.5304221115187 |
L(r)(E,1)/r! |
Ω |
0.055022865090726 |
Real period |
R |
9.8904672035686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4732a1 42588t1 |
Quadratic twists by: -3 13 |