Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232bg |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-374038305984 = -1 · 26 · 38 · 75 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 5 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37751,-2835969] |
[a1,a2,a3,a4,a6] |
Generators |
[790:21471:1] |
Generators of the group modulo torsion |
j |
-92969527379908096/5844348531 |
j-invariant |
L |
8.0062163734395 |
L(r)(E,1)/r! |
Ω |
0.17125168260005 |
Real period |
R |
5.8438961383989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232t1 35616m1 |
Quadratic twists by: -4 8 |