Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488dk |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-1022400175104 = -1 · 210 · 37 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11+ 1 8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-666689,-209746041] |
[a1,a2,a3,a4,a6] |
Generators |
[252730:127052667:1] |
Generators of the group modulo torsion |
j |
-93303976999933696/2910897 |
j-invariant |
L |
11.577952462139 |
L(r)(E,1)/r! |
Ω |
0.083538886369439 |
Real period |
R |
9.8995406632534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488gq1 12936v1 103488bi1 |
Quadratic twists by: -4 8 -7 |