Atkin-Lehner |
2+ 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5698a |
Isogeny class |
Conductor |
5698 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
438746 = 2 · 72 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 11- 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-47755,-4020684] |
[a1,a2,a3,a4,a6] |
j |
12043901286658182313/438746 |
j-invariant |
L |
1.2918316573768 |
L(r)(E,1)/r! |
Ω |
0.32295791434419 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45584l2 51282bc2 39886h2 62678j2 |
Quadratic twists by: -4 -3 -7 -11 |