Atkin-Lehner |
2+ 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50562g |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
-27403661470117536 = -1 · 25 · 36 · 537 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 -5 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-695754,223689492] |
[a1,a2,a3,a4,a6] |
Generators |
[93:12594:1] [32628:56523:64] |
Generators of the group modulo torsion |
j |
-2305199161/1696 |
j-invariant |
L |
6.9442313192175 |
L(r)(E,1)/r! |
Ω |
0.37154554354266 |
Real period |
R |
2.3362651766067 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5618g1 954i1 |
Quadratic twists by: -3 53 |