Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200fo |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
570000000000 = 210 · 3 · 510 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 2 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5833,169537] |
[a1,a2,a3,a4,a6] |
j |
2195200/57 |
j-invariant |
L |
0.91776511759183 |
L(r)(E,1)/r! |
Ω |
0.91776494471531 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200ee1 22800dm1 91200iy1 |
Quadratic twists by: -4 8 5 |