Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872x |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4890046464 = -1 · 212 · 35 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 -5 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13509,608877] |
[a1,a2,a3,a4,a6] |
j |
-13549359104/243 |
j-invariant |
L |
2.5142112242153 |
L(r)(E,1)/r! |
Ω |
1.2571056121076 |
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 |
867e2 55488dy2 41616co2 13872bm2 |
Quadratic twists by: -4 8 -3 17 |