Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
44100bd |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
136080 |
Modular degree for the optimal curve |
Δ |
1050634982250000 = 24 · 36 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25725,300125] |
[a1,a2,a3,a4,a6] |
Generators |
[-139:1091:1] |
Generators of the group modulo torsion |
j |
1792 |
j-invariant |
L |
6.338207730315 |
L(r)(E,1)/r! |
Ω |
0.42558207104023 |
Real period |
R |
4.9643442566571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4900a1 1764e1 44100ca1 |
Quadratic twists by: -3 5 -7 |