Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15840y |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-22729836254400000 = -1 · 29 · 36 · 55 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- -2 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27003,7452002] |
[a1,a2,a3,a4,a6] |
j |
-5833944216008/60897409375 |
j-invariant |
L |
2.2704284902303 |
L(r)(E,1)/r! |
Ω |
0.32434692717576 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15840t1 31680di1 1760d1 79200bl1 |
Quadratic twists by: -4 8 -3 5 |