Atkin-Lehner |
2+ 11- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
94622h |
Isogeny class |
Conductor |
94622 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-4456910411717896 = -1 · 23 · 118 · 173 · 232 |
Discriminant |
Eigenvalues |
2+ -2 -3 -1 11- 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-811550,281348472] |
[a1,a2,a3,a4,a6] |
Generators |
[-474:23892:1] |
Generators of the group modulo torsion |
j |
-275757483948793/20791816 |
j-invariant |
L |
1.8727658279625 |
L(r)(E,1)/r! |
Ω |
0.41518993975327 |
Real period |
R |
2.255312128355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077796 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
94622j1 |
Quadratic twists by: -11 |