Atkin-Lehner |
2- 5- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
106640b |
Isogeny class |
Conductor |
106640 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-682496000000000 = -1 · 218 · 59 · 31 · 43 |
Discriminant |
Eigenvalues |
2- -1 5- 4 -3 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1280,1257472] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-1250:1] |
Generators of the group modulo torsion |
j |
-56667352321/166625000000 |
j-invariant |
L |
7.0354826058471 |
L(r)(E,1)/r! |
Ω |
0.40948657535045 |
Real period |
R |
0.95451271782688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13330d1 |
Quadratic twists by: -4 |