Atkin-Lehner |
3- 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905bd |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-141209943395622255 = -1 · 39 · 5 · 78 · 114 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,55687,17343816] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-4665:1] |
Generators of the group modulo torsion |
j |
26197808373890999/193703626057095 |
j-invariant |
L |
3.7825698079058 |
L(r)(E,1)/r! |
Ω |
0.23812813258071 |
Real period |
R |
0.49639370707672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635l4 |
Quadratic twists by: -3 |