Atkin-Lehner |
2+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
44096i |
Isogeny class |
Conductor |
44096 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3747840 |
Modular degree for the optimal curve |
Δ |
2.21560539679E+22 |
Discriminant |
Eigenvalues |
2+ 2 2 2 -2 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24839937,-47101696255] |
[a1,a2,a3,a4,a6] |
Generators |
[18762949249132680345026931:-3708633031896307106263859200:472326371700775652403] |
Generators of the group modulo torsion |
j |
6465993709280560906177/84518638488387584 |
j-invariant |
L |
10.724818905325 |
L(r)(E,1)/r! |
Ω |
0.067679227175741 |
Real period |
R |
31.693089158564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44096t1 1378b1 |
Quadratic twists by: -4 8 |