Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600by |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-13179736800000000 = -1 · 211 · 312 · 58 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -3 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64875,-8423750] |
[a1,a2,a3,a4,a6] |
Generators |
[149513:2329398:343] |
Generators of the group modulo torsion |
j |
-51777170/22599 |
j-invariant |
L |
8.0103183126291 |
L(r)(E,1)/r! |
Ω |
0.14646528342613 |
Real period |
R |
6.8363625870157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55800ci1 37200ba1 111600bc1 |
Quadratic twists by: -4 -3 5 |