Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904cb |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
1406287872 = 214 · 33 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 11- -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-305,-879] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:32:1] |
Generators of the group modulo torsion |
j |
192143824/85833 |
j-invariant |
L |
3.7332258210607 |
L(r)(E,1)/r! |
Ω |
1.1906176958621 |
Real period |
R |
1.5677684927895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904bd1 8976h1 107712ef1 |
Quadratic twists by: -4 8 -3 |