Atkin-Lehner |
3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55545h |
Isogeny class |
Conductor |
55545 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
30164625444515625 = 34 · 56 · 7 · 237 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-121681,14028536] |
[a1,a2,a3,a4,a6] |
Generators |
[11:3557:1] |
Generators of the group modulo torsion |
j |
1345938541921/203765625 |
j-invariant |
L |
3.7323758312663 |
L(r)(E,1)/r! |
Ω |
0.35631497447632 |
Real period |
R |
2.6187334933361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2415i1 |
Quadratic twists by: -23 |