Atkin-Lehner |
2- 3- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
35880u |
Isogeny class |
Conductor |
35880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-5148387831600 = -1 · 24 · 316 · 52 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,305,109250] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1044:1] |
Generators of the group modulo torsion |
j |
195469297664/321774239475 |
j-invariant |
L |
7.1579686762876 |
L(r)(E,1)/r! |
Ω |
0.6001586354652 |
Real period |
R |
2.9816986098765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71760h1 107640i1 |
Quadratic twists by: -4 -3 |