Atkin-Lehner |
2+ 3- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
18054h |
Isogeny class |
Conductor |
18054 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
226176 |
Modular degree for the optimal curve |
Δ |
-1699660950542658 = -1 · 2 · 325 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 6 -6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-412668,102157546] |
[a1,a2,a3,a4,a6] |
Generators |
[389:422:1] |
Generators of the group modulo torsion |
j |
-10661029751141134273/2331496502802 |
j-invariant |
L |
3.4747203457017 |
L(r)(E,1)/r! |
Ω |
0.45974708602998 |
Real period |
R |
3.7789476554454 |
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 |
6018f1 |
Quadratic twists by: -3 |