Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64575bc |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
50262556640625 = 37 · 59 · 7 · 412 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9230,-9228] |
[a1,a2,a3,a4,a6] |
Generators |
[204:-2665:1] |
Generators of the group modulo torsion |
j |
7633736209/4412625 |
j-invariant |
L |
3.5446292205037 |
L(r)(E,1)/r! |
Ω |
0.53268289736417 |
Real period |
R |
0.83178689370118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21525g1 12915o1 |
Quadratic twists by: -3 5 |