Atkin-Lehner |
2+ 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
21150g |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-158625000000 = -1 · 26 · 33 · 59 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -6 -5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5667,166741] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:533:1] [14:293:1] |
Generators of the group modulo torsion |
j |
-47713652883/376000 |
j-invariant |
L |
5.6638738944962 |
L(r)(E,1)/r! |
Ω |
1.0291270103942 |
Real period |
R |
0.34397320722392 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21150bm2 4230w1 |
Quadratic twists by: -3 5 |