Atkin-Lehner |
2+ 7- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
101626l |
Isogeny class |
Conductor |
101626 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
4080384 |
Modular degree for the optimal curve |
Δ |
1.1676494494024E+21 |
Discriminant |
Eigenvalues |
2+ 0 -1 7- 2 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2867930,-889082888] |
[a1,a2,a3,a4,a6] |
Generators |
[2634:-100444:1] [-732:28960:1] |
Generators of the group modulo torsion |
j |
64646806801100607/28935441865268 |
j-invariant |
L |
7.9287415593711 |
L(r)(E,1)/r! |
Ω |
0.12095881237127 |
Real period |
R |
1.8208083955855 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101626c1 |
Quadratic twists by: -7 |