Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800ds |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-684591851520000 = -1 · 214 · 33 · 54 · 195 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 3 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-318008,68930388] |
[a1,a2,a3,a4,a6] |
Generators |
[628:-10830:1] |
Generators of the group modulo torsion |
j |
-1389310279182025/267418692 |
j-invariant |
L |
6.7473782669472 |
L(r)(E,1)/r! |
Ω |
0.49477763580044 |
Real period |
R |
0.15152437015764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2850g1 91200gw1 68400gl1 22800cd2 |
Quadratic twists by: -4 8 -3 5 |