Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
105196j |
Isogeny class |
Conductor |
105196 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-597453107888 = -1 · 24 · 7 · 13 · 177 |
Discriminant |
Eigenvalues |
2- -1 -4 7- 3 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-385,-37174] |
[a1,a2,a3,a4,a6] |
Generators |
[74:578:1] |
Generators of the group modulo torsion |
j |
-16384/1547 |
j-invariant |
L |
4.231879971977 |
L(r)(E,1)/r! |
Ω |
0.40545077799756 |
Real period |
R |
1.7395781961425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999383146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6188a1 |
Quadratic twists by: 17 |