Atkin-Lehner |
2+ 7- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
63784h |
Isogeny class |
Conductor |
63784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-9299196928 = -1 · 210 · 7 · 172 · 672 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,496,2032] |
[a1,a2,a3,a4,a6] |
Generators |
[4:64:1] |
Generators of the group modulo torsion |
j |
13152033212/9081247 |
j-invariant |
L |
3.6574996384085 |
L(r)(E,1)/r! |
Ω |
0.81901514461766 |
Real period |
R |
2.2328644731276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127568c1 |
Quadratic twists by: -4 |