Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560ek |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-1491499008000000 = -1 · 217 · 39 · 56 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 3 3 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12108,1927568] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:1125:1] |
Generators of the group modulo torsion |
j |
-2054487458/15609375 |
j-invariant |
L |
6.4313410626817 |
L(r)(E,1)/r! |
Ω |
0.40994678970985 |
Real period |
R |
1.9610292209222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999899362 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560bl1 26640p1 35520by1 |
Quadratic twists by: -4 8 -3 |