Atkin-Lehner |
2- 3- 7- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258bm |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-86558433192 = -1 · 23 · 39 · 7 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-713,-15999] |
[a1,a2,a3,a4,a6] |
Generators |
[40:121:1] |
Generators of the group modulo torsion |
j |
-40089475140625/86558433192 |
j-invariant |
L |
10.264793665897 |
L(r)(E,1)/r! |
Ω |
0.43279179681502 |
Real period |
R |
2.6352916990052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
81774t1 |
Quadratic twists by: -3 |