Atkin-Lehner |
2+ 3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43290o |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1490944 |
Modular degree for the optimal curve |
Δ |
-1.914105930048E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 3 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2462715,-1501746075] |
[a1,a2,a3,a4,a6] |
Generators |
[2311047954:223221312837:238328] |
Generators of the group modulo torsion |
j |
-2265889619542705406641/26256597120000000 |
j-invariant |
L |
3.6472474913155 |
L(r)(E,1)/r! |
Ω |
0.060216603055573 |
Real period |
R |
15.142200432462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14430bq1 |
Quadratic twists by: -3 |