Atkin-Lehner |
2+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
44206i |
Isogeny class |
Conductor |
44206 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
902358717612578 = 2 · 232 · 318 |
Discriminant |
Eigenvalues |
2+ -2 0 4 -4 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24526,308934] |
[a1,a2,a3,a4,a6] |
Generators |
[6:399:1] |
Generators of the group modulo torsion |
j |
1838265625/1016738 |
j-invariant |
L |
3.0230775876682 |
L(r)(E,1)/r! |
Ω |
0.43218577364969 |
Real period |
R |
3.4974283884329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1426a2 |
Quadratic twists by: -31 |