Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99372bx |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
943488 |
Modular degree for the optimal curve |
Δ |
-96973650458350848 = -1 · 28 · 36 · 72 · 139 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 1 13- -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35884,15197300] |
[a1,a2,a3,a4,a6] |
Generators |
[563:13182:1] |
Generators of the group modulo torsion |
j |
-38416/729 |
j-invariant |
L |
6.1878089853118 |
L(r)(E,1)/r! |
Ω |
0.28398078638205 |
Real period |
R |
1.8157944967239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939516 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99372d1 99372bv1 |
Quadratic twists by: -7 13 |