Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280bo |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
173330640 = 24 · 32 · 5 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8195,-282828] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1071:1] |
Generators of the group modulo torsion |
j |
3804552637966336/10833165 |
j-invariant |
L |
4.4670382211099 |
L(r)(E,1)/r! |
Ω |
0.50177379104218 |
Real period |
R |
1.4837490189327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560bp1 114240do1 42840p1 71400bd1 |
Quadratic twists by: -4 8 -3 5 |