Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200du |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-12476160000000 = -1 · 214 · 33 · 57 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1967,-165937] |
[a1,a2,a3,a4,a6] |
Generators |
[53:300:1] |
Generators of the group modulo torsion |
j |
3286064/48735 |
j-invariant |
L |
9.4132513695049 |
L(r)(E,1)/r! |
Ω |
0.34801032949638 |
Real period |
R |
1.1270320844513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200fh1 11400x1 18240g1 |
Quadratic twists by: -4 8 5 |