Atkin-Lehner |
2+ 3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62832k |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-9.9794719677024E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11- 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108940536,-437645563488] |
[a1,a2,a3,a4,a6] |
Generators |
[24966:-3521826:1] |
Generators of the group modulo torsion |
j |
-139634354797245012923078116/9745578093459352221 |
j-invariant |
L |
5.0799885778874 |
L(r)(E,1)/r! |
Ω |
0.023365246287254 |
Real period |
R |
0.86276363564058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31416d1 |
Quadratic twists by: -4 |