Atkin-Lehner |
2+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17864b |
Isogeny class |
Conductor |
17864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2029989168621568 = 211 · 710 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 11- -4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144115,-20945874] |
[a1,a2,a3,a4,a6] |
j |
161629756274927250/991205648741 |
j-invariant |
L |
0.98048888303333 |
L(r)(E,1)/r! |
Ω |
0.24512222075833 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35728i2 125048d2 |
Quadratic twists by: -4 -7 |