Atkin-Lehner |
2- 3+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224bj |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2770426785595392 = -1 · 215 · 33 · 73 · 113 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15752,-2420624] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1584:1] |
Generators of the group modulo torsion |
j |
105522070106375/676373726952 |
j-invariant |
L |
5.4425668915799 |
L(r)(E,1)/r! |
Ω |
0.22652379281742 |
Real period |
R |
2.0022057522173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778k2 |
Quadratic twists by: -4 |