Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352bg |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-22722322258944 = -1 · 210 · 39 · 7 · 115 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11- 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,492,-229304] |
[a1,a2,a3,a4,a6] |
Generators |
[221:3267:1] |
Generators of the group modulo torsion |
j |
17643776/30438639 |
j-invariant |
L |
4.8155451721542 |
L(r)(E,1)/r! |
Ω |
0.31460045782245 |
Real period |
R |
0.76534300132172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352ef1 2772f1 14784v1 |
Quadratic twists by: -4 8 -3 |