Atkin-Lehner |
3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49725u |
Isogeny class |
Conductor |
49725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-159535669921875 = -1 · 37 · 59 · 133 · 17 |
Discriminant |
Eigenvalues |
2 3- 5- 2 0 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,11625,369531] |
[a1,a2,a3,a4,a6] |
Generators |
[2756650:43226087:17576] |
Generators of the group modulo torsion |
j |
122023936/112047 |
j-invariant |
L |
12.727538165825 |
L(r)(E,1)/r! |
Ω |
0.37617404836748 |
Real period |
R |
8.4585434728117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16575k1 49725z1 |
Quadratic twists by: -3 5 |