Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400by |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
13966933781250000 = 24 · 312 · 59 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-284250,-58053125] |
[a1,a2,a3,a4,a6] |
Generators |
[-505405971:-791612564:1685159] |
Generators of the group modulo torsion |
j |
111492995072/613089 |
j-invariant |
L |
6.0978804206786 |
L(r)(E,1)/r! |
Ω |
0.20683223565491 |
Real period |
R |
14.741126779186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52200ci1 34800bq1 104400cb1 |
Quadratic twists by: -4 -3 5 |