Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904cm |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
417667497984 = 214 · 36 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1969,-13489] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:144:1] |
Generators of the group modulo torsion |
j |
51553893328/25492401 |
j-invariant |
L |
4.7354508089546 |
L(r)(E,1)/r! |
Ω |
0.75395411808415 |
Real period |
R |
1.0468034891804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35904s2 8976e2 107712fa2 |
Quadratic twists by: -4 8 -3 |