Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200ji |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
1066711680000 = 210 · 35 · 54 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 2 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2833,29063] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:285:1] |
Generators of the group modulo torsion |
j |
3930400000/1666737 |
j-invariant |
L |
10.590235182199 |
L(r)(E,1)/r! |
Ω |
0.78897837617951 |
Real period |
R |
0.29828264850269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200bu1 22800n1 91200gf1 |
Quadratic twists by: -4 8 5 |