Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872bd |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-2045509632 = -1 · 218 · 33 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,312,-396] |
[a1,a2,a3,a4,a6] |
Generators |
[30:192:1] |
Generators of the group modulo torsion |
j |
2828375/1728 |
j-invariant |
L |
5.6349058607822 |
L(r)(E,1)/r! |
Ω |
0.85226634241746 |
Real period |
R |
0.55097270070125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1734a1 55488bz1 41616bw1 13872z1 |
Quadratic twists by: -4 8 -3 17 |