Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850bt |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-557375000 = -1 · 23 · 56 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 1 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-113,1217] |
[a1,a2,a3,a4,a6] |
Generators |
[32:159:1] |
Generators of the group modulo torsion |
j |
-29791/104 |
j-invariant |
L |
10.086383144785 |
L(r)(E,1)/r! |
Ω |
1.4359368931727 |
Real period |
R |
0.58535436531262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1274f1 31850ca1 |
Quadratic twists by: 5 -7 |