Atkin-Lehner |
2- 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67536be |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-17376902243568 = -1 · 24 · 39 · 77 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 1 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4941,-241029] |
[a1,a2,a3,a4,a6] |
Generators |
[122262:2256687:343] |
Generators of the group modulo torsion |
j |
-42360102144/55177381 |
j-invariant |
L |
4.4755250660182 |
L(r)(E,1)/r! |
Ω |
0.27153195220743 |
Real period |
R |
8.241249381282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16884c1 67536bc1 |
Quadratic twists by: -4 -3 |