Atkin-Lehner |
2+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
21350k |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
12925440 |
Modular degree for the optimal curve |
Δ |
-1.1638755297422E+25 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 3 -4 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-59414167,240874465981] |
[a1,a2,a3,a4,a6] |
Generators |
[313913:-175983387:1] |
Generators of the group modulo torsion |
j |
-927798669430245697091000625/465550211896873552970528 |
j-invariant |
L |
2.0612132251727 |
L(r)(E,1)/r! |
Ω |
0.06668486941265 |
Real period |
R |
0.70249451682476 |
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 |
21350z1 |
Quadratic twists by: 5 |