Atkin-Lehner |
3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
99405c |
Isogeny class |
Conductor |
99405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14837760 |
Modular degree for the optimal curve |
Δ |
-5.520267480051E+24 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 2 -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-114938688,487578737794] |
[a1,a2,a3,a4,a6] |
Generators |
[25544218:6902494159:343] |
Generators of the group modulo torsion |
j |
-21370158463320064/702498571875 |
j-invariant |
L |
5.5829004520952 |
L(r)(E,1)/r! |
Ω |
0.075782839539746 |
Real period |
R |
9.2087148049209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33135e1 2115j1 |
Quadratic twists by: -3 -47 |