Atkin-Lehner |
2+ 3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
96960t |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-28594667520 = -1 · 221 · 33 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 6 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4545,119745] |
[a1,a2,a3,a4,a6] |
Generators |
[47:88:1] |
Generators of the group modulo torsion |
j |
-39616946929/109080 |
j-invariant |
L |
6.3739729426686 |
L(r)(E,1)/r! |
Ω |
1.1847510063532 |
Real period |
R |
2.6900052841254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960ea1 3030s1 |
Quadratic twists by: -4 8 |