Atkin-Lehner |
2+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44992o |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
1602122782528 = 26 · 192 · 375 |
Discriminant |
Eigenvalues |
2+ -3 2 -1 -3 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2944,8458] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:185:1] [119:1159:1] |
Generators of the group modulo torsion |
j |
44091731607552/25033168477 |
j-invariant |
L |
6.2602305803958 |
L(r)(E,1)/r! |
Ω |
0.72588263513283 |
Real period |
R |
0.86243013366077 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44992bo1 703a1 |
Quadratic twists by: -4 8 |