Atkin-Lehner |
5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
64925c |
Isogeny class |
Conductor |
64925 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
1988328125 = 56 · 74 · 53 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7+ -3 5 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-638,5767] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:-86:1] [-17:117:1] |
Generators of the group modulo torsion |
j |
765625/53 |
j-invariant |
L |
4.6763896104178 |
L(r)(E,1)/r! |
Ω |
1.4462019103858 |
Real period |
R |
0.53892769937835 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2597a1 64925k1 |
Quadratic twists by: 5 -7 |