Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200do |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-9618750000000000 = -1 · 210 · 34 · 514 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30467,-4241437] |
[a1,a2,a3,a4,a6] |
Generators |
[167:2352:1] |
Generators of the group modulo torsion |
j |
195469297664/601171875 |
j-invariant |
L |
7.030705629665 |
L(r)(E,1)/r! |
Ω |
0.20929429295395 |
Real period |
R |
4.1990547904041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003136 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200fa1 11400a1 18240f1 |
Quadratic twists by: -4 8 5 |