Atkin-Lehner |
3- 7- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
116571m |
Isogeny class |
Conductor |
116571 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-17568225282699 = -1 · 32 · 79 · 13 · 612 |
Discriminant |
Eigenvalues |
-2 3- 3 7- 0 13+ 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3544,216220] |
[a1,a2,a3,a4,a6] |
Generators |
[65:514:1] |
Generators of the group modulo torsion |
j |
-122023936/435357 |
j-invariant |
L |
5.7146704543569 |
L(r)(E,1)/r! |
Ω |
0.60532248312535 |
Real period |
R |
1.1800879953551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000155947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116571g1 |
Quadratic twists by: -7 |