Atkin-Lehner |
2- 3+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
96408m |
Isogeny class |
Conductor |
96408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67968 |
Modular degree for the optimal curve |
Δ |
-53976139776 = -1 · 211 · 39 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 2 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27,-11178] |
[a1,a2,a3,a4,a6] |
Generators |
[316206:4870584:1331] |
Generators of the group modulo torsion |
j |
-54/1339 |
j-invariant |
L |
8.8633022520838 |
L(r)(E,1)/r! |
Ω |
0.51077250520654 |
Real period |
R |
8.6763697600893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96408b1 |
Quadratic twists by: -3 |