Atkin-Lehner |
2- 5- 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
107440z |
Isogeny class |
Conductor |
107440 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-182384986880 = -1 · 28 · 5 · 172 · 793 |
Discriminant |
Eigenvalues |
2- -1 5- -1 -1 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-685,21905] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:158:1] |
Generators of the group modulo torsion |
j |
-139055865856/712441355 |
j-invariant |
L |
3.5769147132775 |
L(r)(E,1)/r! |
Ω |
0.87707356667695 |
Real period |
R |
0.33985316473907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999584776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26860d1 |
Quadratic twists by: -4 |