Atkin-Lehner |
5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29575v |
Isogeny class |
Conductor |
29575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
1014883729056640625 = 59 · 72 · 139 |
Discriminant |
Eigenvalues |
1 -2 5- 7- -6 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1016201,-391385577] |
[a1,a2,a3,a4,a6] |
Generators |
[923811:43477923:343] |
Generators of the group modulo torsion |
j |
12310389629/107653 |
j-invariant |
L |
3.0588532654844 |
L(r)(E,1)/r! |
Ω |
0.15044710833703 |
Real period |
R |
5.0829379495817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29575q1 2275f1 |
Quadratic twists by: 5 13 |