Atkin-Lehner |
2- 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010cm |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-28785770496000 = -1 · 221 · 33 · 53 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1345,-259393] |
[a1,a2,a3,a4,a6] |
Generators |
[127:-1344:1] |
Generators of the group modulo torsion |
j |
-5491799407969/587464704000 |
j-invariant |
L |
9.4197708777614 |
L(r)(E,1)/r! |
Ω |
0.29400177721858 |
Real period |
R |
0.50856893732565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083666 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010cp1 |
Quadratic twists by: -7 |