Atkin-Lehner |
2- 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050bg |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
16272900000000 = 28 · 34 · 58 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-84088,9348281] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:3517:1] [-325:1737:1] |
Generators of the group modulo torsion |
j |
4208294050801849/1041465600 |
j-invariant |
L |
10.844432812267 |
L(r)(E,1)/r! |
Ω |
0.67876887559507 |
Real period |
R |
0.4992693942931 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150ba1 8610g1 |
Quadratic twists by: -3 5 |