Atkin-Lehner |
2+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113680m |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
52427406214400 = 28 · 52 · 710 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -4 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11580,-333572] |
[a1,a2,a3,a4,a6] |
Generators |
[226:2940:1] |
Generators of the group modulo torsion |
j |
5702413264/1740725 |
j-invariant |
L |
4.1579602070962 |
L(r)(E,1)/r! |
Ω |
0.47115110249582 |
Real period |
R |
2.206277469243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999011874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56840l2 16240a2 |
Quadratic twists by: -4 -7 |