Atkin-Lehner |
2+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25970a |
Isogeny class |
Conductor |
25970 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
76383613250000 = 24 · 56 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 3 1 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12455,-327699] |
[a1,a2,a3,a4,a6] |
Generators |
[233:-3179:1] |
Generators of the group modulo torsion |
j |
37067235849/13250000 |
j-invariant |
L |
3.7272147587268 |
L(r)(E,1)/r! |
Ω |
0.46530782441321 |
Real period |
R |
0.66751774545291 |
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 |
129850bn1 25970o1 |
Quadratic twists by: 5 -7 |