Atkin-Lehner |
2+ 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
112608g |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-458249985246892032 = -1 · 212 · 316 · 173 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,168756,18675488] |
[a1,a2,a3,a4,a6] |
j |
177997500675008/153466992873 |
j-invariant |
L |
1.5400622905651 |
L(r)(E,1)/r! |
Ω |
0.19250775638082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112608bf2 37536t2 |
Quadratic twists by: -4 -3 |