Atkin-Lehner |
13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71383a |
Isogeny class |
Conductor |
71383 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1723012087927 = -1 · 13 · 178 · 19 |
Discriminant |
Eigenvalues |
1 -2 0 -2 2 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-151,-63171] |
[a1,a2,a3,a4,a6] |
Generators |
[99627:732817:1331] |
Generators of the group modulo torsion |
j |
-15625/71383 |
j-invariant |
L |
3.5923529089994 |
L(r)(E,1)/r! |
Ω |
0.38111107616709 |
Real period |
R |
9.4259997526636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980822 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4199a1 |
Quadratic twists by: 17 |