Atkin-Lehner |
2+ 3- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
73944j |
Isogeny class |
Conductor |
73944 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1003520 |
Modular degree for the optimal curve |
Δ |
-4837503678380365824 = -1 · 211 · 310 · 13 · 795 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 -3 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,275037,90086974] |
[a1,a2,a3,a4,a6] |
Generators |
[12130:505521:8] |
Generators of the group modulo torsion |
j |
1541131148479678/3240140388147 |
j-invariant |
L |
5.0332207771576 |
L(r)(E,1)/r! |
Ω |
0.16866569649542 |
Real period |
R |
1.4920700774881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24648n1 |
Quadratic twists by: -3 |