Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
21150co |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-82231200000000 = -1 · 211 · 37 · 58 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 5 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-204305,35597697] |
[a1,a2,a3,a4,a6] |
Generators |
[119:3540:1] |
Generators of the group modulo torsion |
j |
-3311853689065/288768 |
j-invariant |
L |
7.6170570799257 |
L(r)(E,1)/r! |
Ω |
0.58095240534521 |
Real period |
R |
0.0993282364395 |
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 |
7050c1 21150q1 |
Quadratic twists by: -3 5 |