Atkin-Lehner |
2+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12650c |
Isogeny class |
Conductor |
12650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-478328125000 = -1 · 23 · 59 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 11+ -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-395400,-95863000] |
[a1,a2,a3,a4,a6] |
Generators |
[22478224274174515:-218221096177891745:29397771945647] |
Generators of the group modulo torsion |
j |
-437537617105223809/30613000 |
j-invariant |
L |
4.9678900666423 |
L(r)(E,1)/r! |
Ω |
0.095194147277429 |
Real period |
R |
26.093463772327 |
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 |
101200bx2 113850fa2 2530f2 |
Quadratic twists by: -4 -3 5 |