Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200a |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-156385200000000 = -1 · 210 · 3 · 58 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9533,703437] |
[a1,a2,a3,a4,a6] |
Generators |
[1466:18025:8] |
Generators of the group modulo torsion |
j |
-5988775936/9774075 |
j-invariant |
L |
5.364504506549 |
L(r)(E,1)/r! |
Ω |
0.51655552067855 |
Real period |
R |
5.192573007293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200hz1 11400bj1 18240y1 |
Quadratic twists by: -4 8 5 |