Atkin-Lehner |
3- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67275y |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-408695625 = -1 · 37 · 54 · 13 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- -2 -3 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2817,58266] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-24:1] |
Generators of the group modulo torsion |
j |
-5427045025/897 |
j-invariant |
L |
5.456981656677 |
L(r)(E,1)/r! |
Ω |
1.6286346475165 |
Real period |
R |
0.83766203562663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22425t1 67275t1 |
Quadratic twists by: -3 5 |