Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41800g |
Isogeny class |
Conductor |
41800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
-10700800 = -1 · 211 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 11- -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-648,6572] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:108:1] |
Generators of the group modulo torsion |
j |
-588638690/209 |
j-invariant |
L |
8.0511518592707 |
L(r)(E,1)/r! |
Ω |
2.2362684907346 |
Real period |
R |
3.6002617273479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83600d1 41800bb1 |
Quadratic twists by: -4 5 |