Atkin-Lehner |
2- 3- 5+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84870y |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
23696640 |
Modular degree for the optimal curve |
Δ |
-2.2552172277211E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 6 -2 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12704558,-28734116803] |
[a1,a2,a3,a4,a6] |
Generators |
[7641:562099:1] |
Generators of the group modulo torsion |
j |
-311081964244860682125721/309357644406181724160 |
j-invariant |
L |
7.0770551824785 |
L(r)(E,1)/r! |
Ω |
0.038438856840481 |
Real period |
R |
5.4150591085747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990564 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28290h1 |
Quadratic twists by: -3 |