Atkin-Lehner |
2- 3+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
73944m |
Isogeny class |
Conductor |
73944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-455642928 = -1 · 24 · 33 · 132 · 792 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1026,-12691] |
[a1,a2,a3,a4,a6] |
Generators |
[50:247:1] |
Generators of the group modulo torsion |
j |
-276491667456/1054729 |
j-invariant |
L |
4.3818928711062 |
L(r)(E,1)/r! |
Ω |
0.42168053687603 |
Real period |
R |
2.5978747465032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999401 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73944b1 |
Quadratic twists by: -3 |