Atkin-Lehner |
2- 3+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224bj |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-1973044911714336768 = -1 · 221 · 3 · 7 · 119 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-143848,70816624] |
[a1,a2,a3,a4,a6] |
Generators |
[1316:46464:1] |
Generators of the group modulo torsion |
j |
-80367094450203625/481700417899008 |
j-invariant |
L |
5.4425668915799 |
L(r)(E,1)/r! |
Ω |
0.22652379281742 |
Real period |
R |
0.66740191740578 |
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 |
8778k3 |
Quadratic twists by: -4 |