Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286bb |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-3.5347928738133E+22 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -2 5 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5114709,-7875374459] |
[a1,a2,a3,a4,a6] |
Generators |
[34990:2488807:8] |
Generators of the group modulo torsion |
j |
503009937352889/1201583849472 |
j-invariant |
L |
2.5916973533956 |
L(r)(E,1)/r! |
Ω |
0.060005866906573 |
Real period |
R |
5.3988415779218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6762bc1 20286z1 |
Quadratic twists by: -3 -7 |