Atkin-Lehner |
2- 3+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224bk |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-36559571693568 = -1 · 212 · 3 · 76 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44373,3624285] |
[a1,a2,a3,a4,a6] |
Generators |
[1162:3773:8] |
Generators of the group modulo torsion |
j |
-2359010787328000/8925676683 |
j-invariant |
L |
5.540960885103 |
L(r)(E,1)/r! |
Ω |
0.65361318572365 |
Real period |
R |
1.4129052183087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998506 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4389h2 |
Quadratic twists by: -4 |