Atkin-Lehner |
2+ 3+ 11+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
35178b |
Isogeny class |
Conductor |
35178 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
151460289497088 = 211 · 36 · 114 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11+ 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-446944,-115192832] |
[a1,a2,a3,a4,a6] |
j |
9873805427738524543753/151460289497088 |
j-invariant |
L |
0.36928914805961 |
L(r)(E,1)/r! |
Ω |
0.18464457403878 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105534bs2 |
Quadratic twists by: -3 |