Atkin-Lehner |
5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
3575g |
Isogeny class |
Conductor |
3575 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
983125 = 54 · 112 · 13 |
Discriminant |
Eigenvalues |
0 1 5- 2 11+ 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3283,71319] |
[a1,a2,a3,a4,a6] |
Generators |
[57:269:1] |
Generators of the group modulo torsion |
j |
6263089561600/1573 |
j-invariant |
L |
3.5087630253029 |
L(r)(E,1)/r! |
Ω |
2.2188634521713 |
Real period |
R |
2.3720001935243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57200cl1 32175y1 3575a1 39325s1 |
Quadratic twists by: -4 -3 5 -11 |