Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200ch |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-150903000000 = -1 · 26 · 38 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 6 -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1158,23688] |
[a1,a2,a3,a4,a6] |
Generators |
[12:108:1] |
Generators of the group modulo torsion |
j |
-171879616/150903 |
j-invariant |
L |
9.4960920443174 |
L(r)(E,1)/r! |
Ω |
0.94022963257597 |
Real period |
R |
1.2624697886578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000098 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55200bu1 110400gb1 2208c1 |
Quadratic twists by: -4 8 5 |