Atkin-Lehner |
3- 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
101175q |
Isogeny class |
Conductor |
101175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2829034798828125 = 3 · 59 · 19 · 714 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-952626,357786523] |
[a1,a2,a3,a4,a6] |
j |
6118857262866715921/181058227125 |
j-invariant |
L |
3.3730579136454 |
L(r)(E,1)/r! |
Ω |
0.42163223342442 |
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 |
20235j3 |
Quadratic twists by: 5 |