Atkin-Lehner |
2+ 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31122h |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-5041764 = -1 · 22 · 36 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -3 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,0,-108] |
[a1,a2,a3,a4,a6] |
Generators |
[6:6:1] |
Generators of the group modulo torsion |
j |
-1/6916 |
j-invariant |
L |
3.4309778135945 |
L(r)(E,1)/r! |
Ω |
1.1119160892237 |
Real period |
R |
0.77141113588658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3458d1 |
Quadratic twists by: -3 |