Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382l |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2787840 |
Modular degree for the optimal curve |
Δ |
-4.3446068274991E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 11- 3 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5009967,10919085997] |
[a1,a2,a3,a4,a6] |
Generators |
[-83453209:1663963379:29791] |
Generators of the group modulo torsion |
j |
-735485265625/2297714688 |
j-invariant |
L |
4.5861957247248 |
L(r)(E,1)/r! |
Ω |
0.10019925163151 |
Real period |
R |
11.442689566165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794w1 41382cf1 |
Quadratic twists by: -3 -11 |