Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18450a |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-1107000000000 = -1 · 29 · 33 · 59 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 0 4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1542,56116] |
[a1,a2,a3,a4,a6] |
Generators |
[29:173:1] |
Generators of the group modulo torsion |
j |
-961504803/2624000 |
j-invariant |
L |
4.2522652524147 |
L(r)(E,1)/r! |
Ω |
0.76806843487011 |
Real period |
R |
0.69203879813357 |
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 |
18450bd2 3690o1 |
Quadratic twists by: -3 5 |