Atkin-Lehner |
3- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72561i |
Isogeny class |
Conductor |
72561 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
-14553125782659 = -1 · 35 · 197 · 67 |
Discriminant |
Eigenvalues |
0 3- 3 -2 5 1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,3851,160120] |
[a1,a2,a3,a4,a6] |
Generators |
[10:3245:8] |
Generators of the group modulo torsion |
j |
134217728/309339 |
j-invariant |
L |
8.572555441397 |
L(r)(E,1)/r! |
Ω |
0.48890427914035 |
Real period |
R |
0.87671102563994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001516 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3819c1 |
Quadratic twists by: -19 |