Atkin-Lehner |
2- 3- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
112176bd |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.7413074050425E+23 |
Discriminant |
Eigenvalues |
2- 3- -4 4 -4 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21122067,31511649490] |
[a1,a2,a3,a4,a6] |
Generators |
[6263:380646:1] |
Generators of the group modulo torsion |
j |
349016117853634602769/58316032672731648 |
j-invariant |
L |
5.3518716071924 |
L(r)(E,1)/r! |
Ω |
0.096996159160303 |
Real period |
R |
4.5980098804225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14022d2 37392s2 |
Quadratic twists by: -4 -3 |