Atkin-Lehner |
2- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
21350u |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
334768000000 = 210 · 56 · 73 · 61 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 0 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18038,924531] |
[a1,a2,a3,a4,a6] |
Generators |
[25:687:1] |
Generators of the group modulo torsion |
j |
41540367914137/21425152 |
j-invariant |
L |
6.6648101362056 |
L(r)(E,1)/r! |
Ω |
0.94922963396388 |
Real period |
R |
0.1170213876203 |
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 |
854a1 |
Quadratic twists by: 5 |