Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688p |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-10063500217344 = -1 · 210 · 34 · 72 · 195 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 1 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,656,152272] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:342:1] |
Generators of the group modulo torsion |
j |
621265148/200564019 |
j-invariant |
L |
6.8517220159854 |
L(r)(E,1)/r! |
Ω |
0.56188910303459 |
Real period |
R |
0.30485205972907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22344v1 44688u1 |
Quadratic twists by: -4 -7 |