Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560bn |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-62677597500000000 = -1 · 28 · 36 · 510 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-101036,-17293140] |
[a1,a2,a3,a4,a6] |
j |
-445570549505984464/244834365234375 |
j-invariant |
L |
2.3499132329492 |
L(r)(E,1)/r! |
Ω |
0.13055073516381 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280c1 114240hs1 85680by1 |
Quadratic twists by: -4 8 -3 |