Atkin-Lehner |
3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
30975be |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-1844096625 = -1 · 36 · 53 · 73 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 5 4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-298,2837] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-61:1] |
Generators of the group modulo torsion |
j |
-23418203381/14752773 |
j-invariant |
L |
4.806199178195 |
L(r)(E,1)/r! |
Ω |
1.3722845677528 |
Real period |
R |
0.097287061200626 |
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 |
92925bh1 30975j1 |
Quadratic twists by: -3 5 |