Atkin-Lehner |
3- 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475bg |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-500544733922578125 = -1 · 36 · 57 · 118 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11+ 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,177370,18176122] |
[a1,a2,a3,a4,a6] |
j |
54177498820719/43943570605 |
j-invariant |
L |
1.5186023339821 |
L(r)(E,1)/r! |
Ω |
0.18982524943828 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11275b4 20295i4 |
Quadratic twists by: -3 5 |