Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71136m |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-1052051249426112 = -1 · 26 · 313 · 134 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 2 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16611,-1325248] |
[a1,a2,a3,a4,a6] |
Generators |
[211:3402:1] |
Generators of the group modulo torsion |
j |
10864344905792/22549109427 |
j-invariant |
L |
9.5426526461717 |
L(r)(E,1)/r! |
Ω |
0.25595827581648 |
Real period |
R |
2.3301289574496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71136s1 23712n1 |
Quadratic twists by: -4 -3 |