Atkin-Lehner |
2+ 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848h |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1184189129582247936 = 216 · 312 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45341857,117531121825] |
[a1,a2,a3,a4,a6] |
j |
157304700372188331121828/18069292138401 |
j-invariant |
L |
1.695423534267 |
L(r)(E,1)/r! |
Ω |
0.21192794178337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22848cw2 2856h2 68544be2 |
Quadratic twists by: -4 8 -3 |