Atkin-Lehner |
5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
64925i |
Isogeny class |
Conductor |
64925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-97428078125 = -1 · 56 · 76 · 53 |
Discriminant |
Eigenvalues |
1 -3 5+ 7- 0 -3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,383,-14834] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1168:1] |
Generators of the group modulo torsion |
j |
3375/53 |
j-invariant |
L |
2.7274932150298 |
L(r)(E,1)/r! |
Ω |
0.52081470386482 |
Real period |
R |
1.3092435730883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2597d1 1325c1 |
Quadratic twists by: 5 -7 |