Atkin-Lehner |
2+ 3+ 11+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
35178a |
Isogeny class |
Conductor |
35178 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
220952631042 = 2 · 32 · 116 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11+ 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3575,-80613] |
[a1,a2,a3,a4,a6] |
j |
5055238509765625/220952631042 |
j-invariant |
L |
1.2381308106929 |
L(r)(E,1)/r! |
Ω |
0.61906540534394 |
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 |
105534bl2 |
Quadratic twists by: -3 |