Atkin-Lehner |
2- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3526c |
Isogeny class |
Conductor |
3526 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
-1893006835712 = -1 · 230 · 41 · 43 |
Discriminant |
Eigenvalues |
2- 1 2 -3 -2 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,638,-65852] |
[a1,a2,a3,a4,a6] |
Generators |
[36:46:1] |
Generators of the group modulo torsion |
j |
28717273414367/1893006835712 |
j-invariant |
L |
5.7338544693746 |
L(r)(E,1)/r! |
Ω |
0.39716219104524 |
Real period |
R |
0.48123534067903 |
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 |
28208l1 112832p1 31734c1 88150g1 |
Quadratic twists by: -4 8 -3 5 |