Atkin-Lehner |
2- 3+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
48204a |
Isogeny class |
Conductor |
48204 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1564123392 = -1 · 28 · 33 · 133 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 -3 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,81,-1882] |
[a1,a2,a3,a4,a6] |
Generators |
[676:789:64] |
Generators of the group modulo torsion |
j |
8503056/226291 |
j-invariant |
L |
7.6036605722152 |
L(r)(E,1)/r! |
Ω |
0.72748962456979 |
Real period |
R |
5.2259580861326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48204b1 |
Quadratic twists by: -3 |