Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
113600cn |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
403280000000 = 210 · 57 · 712 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -4 -4 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2533,37563] |
[a1,a2,a3,a4,a6] |
Generators |
[14:71:1] |
Generators of the group modulo torsion |
j |
112377856/25205 |
j-invariant |
L |
2.8979077117739 |
L(r)(E,1)/r! |
Ω |
0.89286956158533 |
Real period |
R |
1.6228057676199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998731089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113600j1 28400u1 22720be1 |
Quadratic twists by: -4 8 5 |