Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12650l |
Isogeny class |
Conductor |
12650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-1802493440000000 = -1 · 215 · 57 · 113 · 232 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 11- 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,15725,-1889875] |
[a1,a2,a3,a4,a6] |
Generators |
[205:3060:1] |
Generators of the group modulo torsion |
j |
27518990257871/115359580160 |
j-invariant |
L |
2.9936928535435 |
L(r)(E,1)/r! |
Ω |
0.23793453016835 |
Real period |
R |
0.52425010418926 |
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 |
101200r1 113850dy1 2530h1 |
Quadratic twists by: -4 -3 5 |