Atkin-Lehner |
3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39675bp |
Isogeny class |
Conductor |
39675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
556416 |
Modular degree for the optimal curve |
Δ |
820650181379079375 = 36 · 54 · 239 |
Discriminant |
Eigenvalues |
-1 3- 5- 1 5 -3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-297838,-44907883] |
[a1,a2,a3,a4,a6] |
j |
2595575/729 |
j-invariant |
L |
2.5045247695775 |
L(r)(E,1)/r! |
Ω |
0.20871039746306 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119025cd1 39675g1 39675bq1 |
Quadratic twists by: -3 5 -23 |