Atkin-Lehner |
2+ 3+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71994d |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-3127511584314 = -1 · 2 · 33 · 138 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 -3 13+ -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25353,-1566729] |
[a1,a2,a3,a4,a6] |
Generators |
[12020:31339:64] |
Generators of the group modulo torsion |
j |
-373403541601/647946 |
j-invariant |
L |
3.450641756708 |
L(r)(E,1)/r! |
Ω |
0.18915369207236 |
Real period |
R |
4.5606323088534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5538k1 |
Quadratic twists by: 13 |