Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382m |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-196303131288 = -1 · 23 · 36 · 116 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 11- -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16902,850284] |
[a1,a2,a3,a4,a6] |
Generators |
[25:653:1] |
Generators of the group modulo torsion |
j |
-413493625/152 |
j-invariant |
L |
4.0195697623702 |
L(r)(E,1)/r! |
Ω |
0.98735048058795 |
Real period |
R |
2.0355334004462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598n1 342a1 |
Quadratic twists by: -3 -11 |