Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12650t |
Isogeny class |
Conductor |
12650 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
28000 |
Modular degree for the optimal curve |
Δ |
1852086500000 = 25 · 56 · 115 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 11- 7 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23380,1380247] |
[a1,a2,a3,a4,a6] |
Generators |
[73:205:1] |
Generators of the group modulo torsion |
j |
90452336967369/118533536 |
j-invariant |
L |
6.8360381336457 |
L(r)(E,1)/r! |
Ω |
0.83233148402951 |
Real period |
R |
0.32852478921263 |
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 |
101200bb1 113850bi1 506d1 |
Quadratic twists by: -4 -3 5 |