Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
21150cq |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-2.1580756128E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 0 -1 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1711805,-890119803] |
[a1,a2,a3,a4,a6] |
Generators |
[3419:180540:1] |
Generators of the group modulo torsion |
j |
-389608818861653/15156854784 |
j-invariant |
L |
8.5908361365289 |
L(r)(E,1)/r! |
Ω |
0.065844024678518 |
Real period |
R |
1.1649332562925 |
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 |
7050d1 21150bh1 |
Quadratic twists by: -3 5 |