Atkin-Lehner |
2+ 3- 7+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18354h |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-68350296 = -1 · 23 · 3 · 73 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -6 -3 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-288,1894] |
[a1,a2,a3,a4,a6] |
Generators |
[4:26:1] |
Generators of the group modulo torsion |
j |
-2628643361401/68350296 |
j-invariant |
L |
4.2259180100716 |
L(r)(E,1)/r! |
Ω |
1.9485974993912 |
Real period |
R |
1.0843486177602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55062bh1 128478d1 |
Quadratic twists by: -3 -7 |