Atkin-Lehner |
2- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
44992bo |
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] |
j |
44091731607552/25033168477 |
j-invariant |
L |
6.998685032764 |
L(r)(E,1)/r! |
Ω |
0.69986850327888 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44992o1 11248g1 |
Quadratic twists by: -4 8 |