Atkin-Lehner |
2+ 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71136a |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
-27744210756288 = -1 · 26 · 39 · 132 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 4 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2835,246672] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:98:1] |
Generators of the group modulo torsion |
j |
2000376000/22024249 |
j-invariant |
L |
8.3279474731805 |
L(r)(E,1)/r! |
Ω |
0.49044651844356 |
Real period |
R |
4.2450844075995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000427 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71136c1 71136u1 |
Quadratic twists by: -4 -3 |