Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475cd |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
39412800 |
Modular degree for the optimal curve |
Δ |
-7.6168854544684E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -3 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5614715741,161934177971423] |
[a1,a2,a3,a4,a6] |
j |
-2771957867660775809911105/10785915553923 |
j-invariant |
L |
4.9590137060888 |
L(r)(E,1)/r! |
Ω |
0.07292667227043 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475bi1 62475c1 |
Quadratic twists by: 5 -7 |