Atkin-Lehner |
2- 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21620a |
Isogeny class |
Conductor |
21620 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
68160 |
Modular degree for the optimal curve |
Δ |
155294091139840 = 28 · 5 · 232 · 475 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 -1 -1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-101756,12445364] |
[a1,a2,a3,a4,a6] |
Generators |
[707:17158:1] |
Generators of the group modulo torsion |
j |
455164198476481744/606617543515 |
j-invariant |
L |
5.6772235578057 |
L(r)(E,1)/r! |
Ω |
0.57553864847934 |
Real period |
R |
4.9320958486504 |
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 |
86480e1 108100c1 |
Quadratic twists by: -4 5 |