Atkin-Lehner |
2- 3- 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
63270bb |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
400896 |
Modular degree for the optimal curve |
Δ |
-690474426957450 = -1 · 2 · 315 · 52 · 19 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 0 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-85757,9769839] |
[a1,a2,a3,a4,a6] |
Generators |
[1246:2703:8] |
Generators of the group modulo torsion |
j |
-95675375569974409/947152849050 |
j-invariant |
L |
11.510938264797 |
L(r)(E,1)/r! |
Ω |
0.51166778957307 |
Real period |
R |
1.8747415313718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000228 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21090a1 |
Quadratic twists by: -3 |