Atkin-Lehner |
3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
25857q |
Isogeny class |
Conductor |
25857 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-51862764293379 = -1 · 37 · 136 · 173 |
Discriminant |
Eigenvalues |
0 3- 3 4 -3 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-90246,10440693] |
[a1,a2,a3,a4,a6] |
Generators |
[173:-77:1] |
Generators of the group modulo torsion |
j |
-23100424192/14739 |
j-invariant |
L |
6.1034290013776 |
L(r)(E,1)/r! |
Ω |
0.62535722761746 |
Real period |
R |
0.81332566569338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8619i2 153b2 |
Quadratic twists by: -3 13 |