Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
21150cn |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
75784273920000 = 217 · 39 · 54 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 7 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-207005,36300197] |
[a1,a2,a3,a4,a6] |
Generators |
[255:88:1] |
Generators of the group modulo torsion |
j |
2153062843632025/166330368 |
j-invariant |
L |
8.2615583907009 |
L(r)(E,1)/r! |
Ω |
0.58336150436232 |
Real period |
R |
0.20826452351944 |
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 |
7050o1 21150m1 |
Quadratic twists by: -3 5 |