Atkin-Lehner |
2+ 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
96408c |
Isogeny class |
Conductor |
96408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
9255168 = 28 · 33 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1335,-18774] |
[a1,a2,a3,a4,a6] |
Generators |
[159765:524024:3375] |
Generators of the group modulo torsion |
j |
38068326000/1339 |
j-invariant |
L |
7.0679769423033 |
L(r)(E,1)/r! |
Ω |
0.7898236881365 |
Real period |
R |
8.9488034337983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96408n1 |
Quadratic twists by: -3 |