Atkin-Lehner |
2+ 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
35904k |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
147062784 = 218 · 3 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11+ 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-769,8449] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:128:1] [-1:96:1] |
Generators of the group modulo torsion |
j |
192100033/561 |
j-invariant |
L |
6.9148269368667 |
L(r)(E,1)/r! |
Ω |
1.8386211283833 |
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 |
35904de1 561d1 107712bx1 |
Quadratic twists by: -4 8 -3 |