Atkin-Lehner |
2+ 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
96408f |
Isogeny class |
Conductor |
96408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
-2998674432 = -1 · 210 · 37 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 3 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,285,-1874] |
[a1,a2,a3,a4,a6] |
Generators |
[15:76:1] |
Generators of the group modulo torsion |
j |
3429500/4017 |
j-invariant |
L |
6.9049850025279 |
L(r)(E,1)/r! |
Ω |
0.76617236228559 |
Real period |
R |
2.2530782043348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002332 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32136g1 |
Quadratic twists by: -3 |