Atkin-Lehner |
2- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32200o |
Isogeny class |
Conductor |
32200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-281750000 = -1 · 24 · 56 · 72 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -6 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-708,7537] |
[a1,a2,a3,a4,a6] |
Generators |
[12:25:1] [-12:119:1] |
Generators of the group modulo torsion |
j |
-157216000/1127 |
j-invariant |
L |
6.8585982828375 |
L(r)(E,1)/r! |
Ω |
1.7447528858186 |
Real period |
R |
0.49137318661176 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64400s1 1288e1 |
Quadratic twists by: -4 5 |