Atkin-Lehner |
2+ 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
35904k |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5284995268608 = -1 · 218 · 34 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11+ 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4351,4353] |
[a1,a2,a3,a4,a6] |
Generators |
[3:132:1] [17:288:1] |
Generators of the group modulo torsion |
j |
34741712447/20160657 |
j-invariant |
L |
6.9148269368667 |
L(r)(E,1)/r! |
Ω |
0.45965528209582 |
Real period |
R |
3.7608764688497 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904de3 561d4 107712bx3 |
Quadratic twists by: -4 8 -3 |