Atkin-Lehner |
3+ 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
96387b |
Isogeny class |
Conductor |
96387 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-113051252043 = -1 · 33 · 196 · 89 |
Discriminant |
Eigenvalues |
0 3+ 0 2 6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1203,-22399] |
[a1,a2,a3,a4,a6] |
Generators |
[279306:964925:5832] |
Generators of the group modulo torsion |
j |
-4096000/2403 |
j-invariant |
L |
5.5840937837124 |
L(r)(E,1)/r! |
Ω |
0.39466005444312 |
Real period |
R |
7.0745616620123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
267a1 |
Quadratic twists by: -19 |