Atkin-Lehner |
2+ 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
21350n |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
373625000000 = 26 · 59 · 72 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2492,38416] |
[a1,a2,a3,a4,a6] |
Generators |
[0:196:1] |
Generators of the group modulo torsion |
j |
876467493/191296 |
j-invariant |
L |
3.4898509539524 |
L(r)(E,1)/r! |
Ω |
0.89974416585289 |
Real period |
R |
1.9393573675714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21350x1 |
Quadratic twists by: 5 |