Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200ha |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-113467392000 = -1 · 216 · 36 · 53 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1313,24897] |
[a1,a2,a3,a4,a6] |
Generators |
[11:108:1] |
Generators of the group modulo torsion |
j |
-30581492/13851 |
j-invariant |
L |
5.083456436935 |
L(r)(E,1)/r! |
Ω |
0.98415584359255 |
Real period |
R |
1.2913240487565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200ev1 22800bp1 91200ix1 |
Quadratic twists by: -4 8 5 |