Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52200bb |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
893883762000 = 24 · 312 · 53 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11370,464425] |
[a1,a2,a3,a4,a6] |
Generators |
[20:495:1] |
Generators of the group modulo torsion |
j |
111492995072/613089 |
j-invariant |
L |
7.4930983116554 |
L(r)(E,1)/r! |
Ω |
0.89115810137887 |
Real period |
R |
2.1020676073249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400cb1 17400bq1 52200ci1 |
Quadratic twists by: -4 -3 5 |