Atkin-Lehner |
3- 5+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
101745o |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
392448 |
Modular degree for the optimal curve |
Δ |
-15013843321995 = -1 · 313 · 5 · 73 · 172 · 19 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 6 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21423,-1221206] |
[a1,a2,a3,a4,a6] |
Generators |
[188:1181:1] |
Generators of the group modulo torsion |
j |
-1491547358089216/20595121155 |
j-invariant |
L |
3.3056620241403 |
L(r)(E,1)/r! |
Ω |
0.19714818798627 |
Real period |
R |
4.1918493652798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33915h1 |
Quadratic twists by: -3 |