Atkin-Lehner |
2- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
88768k |
Isogeny class |
Conductor |
88768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
212338737152 = 221 · 19 · 732 |
Discriminant |
Eigenvalues |
2- 0 0 -2 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51980,-4561392] |
[a1,a2,a3,a4,a6] |
Generators |
[597:13311:1] [7167:15841:27] |
Generators of the group modulo torsion |
j |
59250581321625/810008 |
j-invariant |
L |
10.550508222539 |
L(r)(E,1)/r! |
Ω |
0.31618469365354 |
Real period |
R |
33.368181427428 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000125 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88768d2 22192b2 |
Quadratic twists by: -4 8 |