Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
31200t |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-81881280000000 = -1 · 212 · 39 · 57 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 3 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4467,-418437] |
[a1,a2,a3,a4,a6] |
Generators |
[93:900:1] |
Generators of the group modulo torsion |
j |
153990656/1279395 |
j-invariant |
L |
7.1305393555749 |
L(r)(E,1)/r! |
Ω |
0.30162035504039 |
Real period |
R |
0.65668823189451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31200e1 62400ed1 93600dz1 6240u1 |
Quadratic twists by: -4 8 -3 5 |