Atkin-Lehner |
2+ 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
46176n |
Isogeny class |
Conductor |
46176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2842963968 = 212 · 3 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-657,-6177] |
[a1,a2,a3,a4,a6] |
Generators |
[497:11076:1] |
Generators of the group modulo torsion |
j |
7668682048/694083 |
j-invariant |
L |
8.0846267491314 |
L(r)(E,1)/r! |
Ω |
0.94833042913293 |
Real period |
R |
4.2625579127153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46176r2 92352d1 |
Quadratic twists by: -4 8 |