Atkin-Lehner |
2+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
3160c |
Isogeny class |
Conductor |
3160 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-197500000000 = -1 · 28 · 510 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -4 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-620,-22400] |
[a1,a2,a3,a4,a6] |
Generators |
[60:400:1] |
Generators of the group modulo torsion |
j |
-103123846096/771484375 |
j-invariant |
L |
2.367202317165 |
L(r)(E,1)/r! |
Ω |
0.42294876606028 |
Real period |
R |
1.1193801742066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6320b2 25280h2 28440n2 15800e2 |
Quadratic twists by: -4 8 -3 5 |