Atkin-Lehner |
3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55233n |
Isogeny class |
Conductor |
55233 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4875552 |
Modular degree for the optimal curve |
Δ |
-1.0775486868527E+22 |
Discriminant |
Eigenvalues |
2 3- 2 0 3 3 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14959479,22823279631] |
[a1,a2,a3,a4,a6] |
Generators |
[-289718132:15790064603:85184] |
Generators of the group modulo torsion |
j |
-29903139131392/870323211 |
j-invariant |
L |
15.72751067486 |
L(r)(E,1)/r! |
Ω |
0.12765011771061 |
Real period |
R |
10.267330050886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18411l1 55233t1 |
Quadratic twists by: -3 -19 |