Atkin-Lehner |
2- 3+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
3504p |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
57141318647808 = 230 · 36 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15008,612096] |
[a1,a2,a3,a4,a6] |
Generators |
[98:270:1] |
Generators of the group modulo torsion |
j |
91276959390625/13950517248 |
j-invariant |
L |
2.8091647434077 |
L(r)(E,1)/r! |
Ω |
0.60056562568839 |
Real period |
R |
2.3387658427734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438a1 14016bz1 10512s1 87600cb1 |
Quadratic twists by: -4 8 -3 5 |