Atkin-Lehner |
2+ 3+ 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
6162b |
Isogeny class |
Conductor |
6162 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5440 |
Modular degree for the optimal curve |
Δ |
-527978646 = -1 · 2 · 32 · 135 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 -5 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-864,9486] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:75:1] [-7:127:1] |
Generators of the group modulo torsion |
j |
-71457875870473/527978646 |
j-invariant |
L |
2.8434121110833 |
L(r)(E,1)/r! |
Ω |
1.6557305500368 |
Real period |
R |
0.1717315725689 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49296bl1 18486w1 80106t1 |
Quadratic twists by: -4 -3 13 |