Atkin-Lehner |
2+ 3- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
72624h |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15616 |
Modular degree for the optimal curve |
Δ |
-1161984 = -1 · 28 · 3 · 17 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 -3 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-297,1875] |
[a1,a2,a3,a4,a6] |
Generators |
[282:125:27] |
Generators of the group modulo torsion |
j |
-11355716608/4539 |
j-invariant |
L |
9.9629179880013 |
L(r)(E,1)/r! |
Ω |
2.6957792608783 |
Real period |
R |
3.6957469526786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995144 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36312a1 |
Quadratic twists by: -4 |