Atkin-Lehner |
3+ 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
115851l |
Isogeny class |
Conductor |
115851 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-4473818067 = -1 · 3 · 234 · 732 |
Discriminant |
Eigenvalues |
0 3+ 2 -1 4 -1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,353,-2082] |
[a1,a2,a3,a4,a6] |
Generators |
[8:34:1] |
Generators of the group modulo torsion |
j |
17334272/15987 |
j-invariant |
L |
4.6438741089315 |
L(r)(E,1)/r! |
Ω |
0.75489909688886 |
Real period |
R |
1.025274791305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115851m1 |
Quadratic twists by: -23 |