Atkin-Lehner |
2+ 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5698b |
Isogeny class |
Conductor |
5698 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1088971462320896 = 28 · 710 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 11- -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20560205,35881329096] |
[a1,a2,a3,a4,a6] |
j |
961182828357290366971501513/1088971462320896 |
j-invariant |
L |
0.62075949466664 |
L(r)(E,1)/r! |
Ω |
0.31037974733332 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45584m2 51282bd2 39886i2 62678k2 |
Quadratic twists by: -4 -3 -7 -11 |