Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600es |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
12812904000 = 26 · 36 · 53 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 6 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32985,2305800] |
[a1,a2,a3,a4,a6] |
j |
680543142336/2197 |
j-invariant |
L |
2.2046844704776 |
L(r)(E,1)/r! |
Ω |
1.1023422019276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93600et1 10400o1 93600ck1 |
Quadratic twists by: -4 -3 5 |