Atkin-Lehner |
2+ 3- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990l |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-3038612172296126400 = -1 · 26 · 311 · 52 · 133 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-164979,-87703115] |
[a1,a2,a3,a4,a6] |
j |
-681214157326072369/4168192280241600 |
j-invariant |
L |
1.6935558880508 |
L(r)(E,1)/r! |
Ω |
0.10584724297065 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330q1 |
Quadratic twists by: -3 |