Atkin-Lehner |
3- 5+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80475j |
Isogeny class |
Conductor |
80475 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-328187109375 = -1 · 33 · 58 · 292 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -2 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-688,28367] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:194:1] |
Generators of the group modulo torsion |
j |
-2305199161/21003975 |
j-invariant |
L |
3.9502576047183 |
L(r)(E,1)/r! |
Ω |
0.82355626209324 |
Real period |
R |
0.79943083206398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16095b1 |
Quadratic twists by: 5 |