Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18975p |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
29407134796875 = 35 · 56 · 114 · 232 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30951,-2082077] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:147:1] |
Generators of the group modulo torsion |
j |
209849322390625/1882056627 |
j-invariant |
L |
7.7545653862262 |
L(r)(E,1)/r! |
Ω |
0.36013688473095 |
Real period |
R |
1.076613603744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56925q2 759a2 |
Quadratic twists by: -3 5 |