Atkin-Lehner |
5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3575a |
Isogeny class |
Conductor |
3575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
15361328125 = 510 · 112 · 13 |
Discriminant |
Eigenvalues |
0 -1 5+ -2 11+ 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-82083,9079068] |
[a1,a2,a3,a4,a6] |
Generators |
[166:5:1] |
Generators of the group modulo torsion |
j |
6263089561600/1573 |
j-invariant |
L |
2.1102971082144 |
L(r)(E,1)/r! |
Ω |
0.99230590236896 |
Real period |
R |
1.0633299183127 |
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 |
57200bn1 32175n1 3575g1 39325h1 |
Quadratic twists by: -4 -3 5 -11 |