Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080bl |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-1291204800 = -1 · 26 · 39 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -1 2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-138,-1838] |
[a1,a2,a3,a4,a6] |
Generators |
[17:27:1] |
Generators of the group modulo torsion |
j |
-6229504/27675 |
j-invariant |
L |
6.757471950522 |
L(r)(E,1)/r! |
Ω |
0.63238857563517 |
Real period |
R |
1.3357040634487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080bo1 59040bz1 39360bh1 |
Quadratic twists by: -4 8 -3 |