Atkin-Lehner |
3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
75429o |
Isogeny class |
Conductor |
75429 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
-1.6395447172364E+23 |
Discriminant |
Eigenvalues |
0 3- 1 2 1 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-16062042,-31518652626] |
[a1,a2,a3,a4,a6] |
Generators |
[821016020:16120263262:166375] |
Generators of the group modulo torsion |
j |
-26043834513719296/9317560247811 |
j-invariant |
L |
6.5475652853823 |
L(r)(E,1)/r! |
Ω |
0.037041762690128 |
Real period |
R |
5.5238034148361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25143k1 4437c1 |
Quadratic twists by: -3 17 |