Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232bl |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-12971279030976 = -1 · 26 · 34 · 75 · 533 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 5 -4 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13727,638271] |
[a1,a2,a3,a4,a6] |
Generators |
[70:159:1] |
Generators of the group modulo torsion |
j |
-4469946001956352/202676234859 |
j-invariant |
L |
6.1900169021441 |
L(r)(E,1)/r! |
Ω |
0.7025085563408 |
Real period |
R |
0.73427538654349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001708 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232w1 35616b1 |
Quadratic twists by: -4 8 |