Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200gs |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
205200000000 = 210 · 33 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 0 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1833,21537] |
[a1,a2,a3,a4,a6] |
Generators |
[-1248:1979:27] |
Generators of the group modulo torsion |
j |
1703680/513 |
j-invariant |
L |
5.9915936486772 |
L(r)(E,1)/r! |
Ω |
0.92945405708861 |
Real period |
R |
6.4463580600344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200ep1 22800dr1 91200ho1 |
Quadratic twists by: -4 8 5 |