Atkin-Lehner |
2- 3+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16530s |
Isogeny class |
Conductor |
16530 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-700487044070400 = -1 · 210 · 310 · 52 · 19 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3306,1274103] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:1179:1] |
Generators of the group modulo torsion |
j |
-3996137932836769/700487044070400 |
j-invariant |
L |
5.8180336745617 |
L(r)(E,1)/r! |
Ω |
0.41568360190705 |
Real period |
R |
0.46654343575017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49590s1 82650r1 |
Quadratic twists by: -3 5 |