Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640bj |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
2374041600 = 216 · 32 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12096,516096] |
[a1,a2,a3,a4,a6] |
Generators |
[66:-30:1] |
Generators of the group modulo torsion |
j |
47788676405569/579600 |
j-invariant |
L |
3.2488654957075 |
L(r)(E,1)/r! |
Ω |
1.3206526659562 |
Real period |
R |
0.61501134618103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bd1 115920ea1 |
Quadratic twists by: -4 -3 |