Atkin-Lehner |
3- 5+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
67575g |
Isogeny class |
Conductor |
67575 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
277099734375 = 39 · 56 · 17 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5+ 1 0 -5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32513,2253642] |
[a1,a2,a3,a4,a6] |
Generators |
[157:934:1] [31:1114:1] |
Generators of the group modulo torsion |
j |
243262773015625/17734383 |
j-invariant |
L |
8.2179730216676 |
L(r)(E,1)/r! |
Ω |
0.9299358752805 |
Real period |
R |
0.49095219240102 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2703a1 |
Quadratic twists by: 5 |