Atkin-Lehner |
2- 3+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224bq |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
64335466465492992 = 215 · 3 · 73 · 114 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10284775544,-401454778798992] |
[a1,a2,a3,a4,a6] |
j |
29372994119520171951153469478137/15706900992552 |
j-invariant |
L |
1.9189374471648 |
L(r)(E,1)/r! |
Ω |
0.01499169886882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8778j3 |
Quadratic twists by: -4 |