Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
21150ct |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6272 |
Modular degree for the optimal curve |
Δ |
17131500 = 22 · 36 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 5 -1 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65,37] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:10:1] |
Generators of the group modulo torsion |
j |
328509/188 |
j-invariant |
L |
7.6494330774419 |
L(r)(E,1)/r! |
Ω |
1.8763570357048 |
Real period |
R |
1.0191867714782 |
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 |
2350g1 21150bg1 |
Quadratic twists by: -3 5 |