Atkin-Lehner |
3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775do |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
237600 |
Modular degree for the optimal curve |
Δ |
-908700655078125 = -1 · 32 · 58 · 76 · 133 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -1 13- -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-55763,5267142] |
[a1,a2,a3,a4,a6] |
Generators |
[127:-551:1] |
Generators of the group modulo torsion |
j |
-417267265/19773 |
j-invariant |
L |
4.532309253046 |
L(r)(E,1)/r! |
Ω |
0.49267467561667 |
Real period |
R |
0.51107753445597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47775k1 975e1 |
Quadratic twists by: 5 -7 |