Atkin-Lehner |
3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825ci |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-1103005919885625 = -1 · 37 · 54 · 76 · 193 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 5 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,22637,-911758] |
[a1,a2,a3,a4,a6] |
Generators |
[347:-7156:1] |
Generators of the group modulo torsion |
j |
17446602575/15000633 |
j-invariant |
L |
5.0363309686327 |
L(r)(E,1)/r! |
Ω |
0.26999970181848 |
Real period |
R |
0.14804046242505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69825q1 1425e1 |
Quadratic twists by: 5 -7 |