Atkin-Lehner |
2- 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010ch |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
344448 |
Modular degree for the optimal curve |
Δ |
337333248000 = 213 · 34 · 53 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 1 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22065,1252047] |
[a1,a2,a3,a4,a6] |
Generators |
[127:656:1] |
Generators of the group modulo torsion |
j |
24246031084065889/6884352000 |
j-invariant |
L |
10.280604107156 |
L(r)(E,1)/r! |
Ω |
0.93980594845267 |
Real period |
R |
0.14024450012321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010cn1 |
Quadratic twists by: -7 |