Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786k |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
344960 |
Modular degree for the optimal curve |
Δ |
-179575823366784 = -1 · 27 · 36 · 13 · 236 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 -2 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12795,855269] |
[a1,a2,a3,a4,a6] |
Generators |
[305:4873:1] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
2.8243121467639 |
L(r)(E,1)/r! |
Ω |
0.52328810339516 |
Real period |
R |
2.6986206179936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059547 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13754j1 234a1 |
Quadratic twists by: -3 -23 |