Atkin-Lehner |
3- 5- 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
113775n |
Isogeny class |
Conductor |
113775 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-431557463671875 = -1 · 39 · 58 · 372 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 -1 0 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-36888,2901267] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-1401:1] [-123:2424:1] |
Generators of the group modulo torsion |
j |
-14210839710625/1104787107 |
j-invariant |
L |
8.6704681819152 |
L(r)(E,1)/r! |
Ω |
0.51949137492586 |
Real period |
R |
0.30907967546505 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001373 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113775c1 |
Quadratic twists by: 5 |