Atkin-Lehner |
2- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
106090s |
Isogeny class |
Conductor |
106090 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
1028160 |
Modular degree for the optimal curve |
Δ |
-217272320000000 = -1 · 218 · 57 · 1032 |
Discriminant |
Eigenvalues |
2- -3 5- -3 0 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42417,3447009] |
[a1,a2,a3,a4,a6] |
Generators |
[167:916:1] [-73:2516:1] |
Generators of the group modulo torsion |
j |
-795535403138289/20480000000 |
j-invariant |
L |
10.194170082348 |
L(r)(E,1)/r! |
Ω |
0.55964697530144 |
Real period |
R |
0.14456633439761 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106090j1 |
Quadratic twists by: -103 |