Atkin-Lehner |
2+ 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150bc |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-6420294925012800 = -1 · 26 · 38 · 52 · 13 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-177102,28989076] |
[a1,a2,a3,a4,a6] |
Generators |
[260:554:1] |
Generators of the group modulo torsion |
j |
-33707609307867145/352279556928 |
j-invariant |
L |
5.9299231257633 |
L(r)(E,1)/r! |
Ω |
0.42481895495794 |
Real period |
R |
0.5816127747656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999625234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37050bo2 111150fj2 |
Quadratic twists by: -3 5 |