Atkin-Lehner |
2- 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666bw |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-19757876541858 = -1 · 2 · 33 · 73 · 137 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6672,42210] |
[a1,a2,a3,a4,a6] |
Generators |
[1542:22551:8] |
Generators of the group modulo torsion |
j |
6804992375/4093362 |
j-invariant |
L |
14.756679275097 |
L(r)(E,1)/r! |
Ω |
0.41979065849868 |
Real period |
R |
2.9293726436533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9282k1 |
Quadratic twists by: 13 |