Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912x |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12764099545344 = 28 · 32 · 78 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14324,632316] |
[a1,a2,a3,a4,a6] |
Generators |
[31:468:1] |
Generators of the group modulo torsion |
j |
10792418128/423801 |
j-invariant |
L |
5.5656811815928 |
L(r)(E,1)/r! |
Ω |
0.70424149297454 |
Real period |
R |
3.9515430689887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001217 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36456v2 10416b2 |
Quadratic twists by: -4 -7 |