Atkin-Lehner |
3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
29325r |
Isogeny class |
Conductor |
29325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
13460175 = 34 · 52 · 172 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 3 3 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88,257] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-31:1] |
Generators of the group modulo torsion |
j |
3016755625/538407 |
j-invariant |
L |
4.743529300443 |
L(r)(E,1)/r! |
Ω |
2.1293941454207 |
Real period |
R |
0.27845533614831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87975w1 29325m1 |
Quadratic twists by: -3 5 |