Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200dp |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
190164403200 = 210 · 3 · 52 · 195 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 4 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7353,239343] |
[a1,a2,a3,a4,a6] |
Generators |
[1254:361:27] |
Generators of the group modulo torsion |
j |
1717657250560/7428297 |
j-invariant |
L |
9.9816281230964 |
L(r)(E,1)/r! |
Ω |
1.0134596047004 |
Real period |
R |
1.9698127252519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200fe1 5700a1 91200cd1 |
Quadratic twists by: -4 8 5 |