Atkin-Lehner |
2- 3- 5- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
120870bh |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
5308416 |
Modular degree for the optimal curve |
Δ |
-4.2182569390397E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-601052,-1004148961] |
[a1,a2,a3,a4,a6] |
Generators |
[1629:47533:1] |
Generators of the group modulo torsion |
j |
-32940610680921681529/578636068455383040 |
j-invariant |
L |
14.264108328271 |
L(r)(E,1)/r! |
Ω |
0.072168575331357 |
Real period |
R |
2.0588526300033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40290r1 |
Quadratic twists by: -3 |