Atkin-Lehner |
2- 3+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
45828d |
Isogeny class |
Conductor |
45828 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-121874616576 = -1 · 28 · 39 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 -2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,81,-16794] |
[a1,a2,a3,a4,a6] |
Generators |
[102:1026:1] |
Generators of the group modulo torsion |
j |
11664/24187 |
j-invariant |
L |
3.2205966231241 |
L(r)(E,1)/r! |
Ω |
0.48599010850322 |
Real period |
R |
1.6567192247149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45828c1 |
Quadratic twists by: -3 |