Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616cm |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
-1062304505442054144 = -1 · 212 · 37 · 179 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 -5 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,235824,-22717712] |
[a1,a2,a3,a4,a6] |
Generators |
[257:7407:1] |
Generators of the group modulo torsion |
j |
4096/3 |
j-invariant |
L |
6.2793343283879 |
L(r)(E,1)/r! |
Ω |
0.15502278277912 |
Real period |
R |
5.06323507408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2601k1 13872bm1 41616co1 |
Quadratic twists by: -4 -3 17 |